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2420224240000 = 275474321829
BaseRepresentation
bin100011001110000000100…
…110110010100110000000
322120101000120220001122211
4203032000212302212000
5304123104401140000
65051500300511504
7336566261415640
oct43160046624600
98511016801584
102420224240000
11853458541016
1233108024b594
131472c2b70918
14851d4a2a520
1542e501887ba
hex233809b2980

2420224240000 has 160 divisors (see below), whose sum is σ = 6885712429200. Its totient is φ = 829790976000.

The previous prime is 2420224239989. The next prime is 2420224240009. The reversal of 2420224240000 is 424220242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420224240009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1600915 + ... + 2720914.

Almost surely, 22420224240000 is an apocalyptic number.

2420224240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420224240000 is an abundant number, since it is smaller than the sum of its proper divisors (4465488189200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2420224240000 is an frugal number, since it uses more digits than its factorization.

2420224240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321870 (or 4321843 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2420224240000 its reverse (424220242), we get a palindrome (2420648460242).

The spelling of 2420224240000 in words is "two trillion, four hundred twenty billion, two hundred twenty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 10000 11200 14000 16000 17500 20000 22400 28000 35000 40000 56000 70000 80000 112000 140000 280000 560000 4321829 8643658 17287316 21609145 30252803 34574632 43218290 60505606 69149264 86436580 108045725 121011212 138298528 151264015 172873160 216091450 242022424 276597056 302528030 345746320 432182900 484044848 540228625 553194112 605056060 691492640 756320075 864365800 968089696 1080457250 1210112120 1382985280 1512640150 1728731600 1936179392 2160914500 2420224240 2701143125 2765970560 3025280300 3457463200 3781600375 3872358784 4321829000 4840448480 5402286250 6050560600 6914926400 7563200750 8643658000 9680896960 10804572500 12101121200 13829852800 15126401500 17287316000 18908001875 19361793920 21609145000 24202242400 30252803000 34574632000 37816003750 43218290000 48404484800 60505606000 69149264000 75632007500 86436580000 96808969600 121011212000 151264015000 172873160000 242022424000 302528030000 345746320000 484044848000 605056060000 1210112120000 2420224240000