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2420241000 = 233536712041
BaseRepresentation
bin1001000001000001…
…1111001001101000
320020200002222111120
42100100133021220
514424040203000
61040054055240
7113655465132
oct22020371150
96220088446
102420241000
111032187981
1257664a520
132c7554988
1418d60c052
15e27236a0
hex9041f268

2420241000 has 128 divisors (see below), whose sum is σ = 7664492160. Its totient is φ = 635712000.

The previous prime is 2420240951. The next prime is 2420241013. The reversal of 2420241000 is 1420242.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194980 + ... + 207020.

It is an arithmetic number, because the mean of its divisors is an integer number (59878845).

Almost surely, 22420241000 is an apocalyptic number.

2420241000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832246080).

2420241000 is an abundant number, since it is smaller than the sum of its proper divisors (5244251160).

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

2420241000 is a wasteful number, since it uses less digits than its factorization.

2420241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12132 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2420241000 is about 49195.9449548436. The cubic root of 2420241000 is about 1342.6192549999.

Adding to 2420241000 its reverse (1420242), we get a palindrome (2421661242).

The spelling of 2420241000 in words is "two billion, four hundred twenty million, two hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 125 134 150 200 201 250 268 300 335 375 402 500 536 600 670 750 804 1000 1005 1340 1500 1608 1675 2010 2680 3000 3350 4020 5025 6700 8040 8375 10050 12041 13400 16750 20100 24082 25125 33500 36123 40200 48164 50250 60205 67000 72246 96328 100500 120410 144492 180615 201000 240820 288984 301025 361230 481640 602050 722460 806747 903075 1204100 1444920 1505125 1613494 1806150 2408200 2420241 3010250 3226988 3612300 4033735 4515375 4840482 6020500 6453976 7224600 8067470 9030750 9680964 12041000 12101205 16134940 18061500 19361928 20168675 24202410 32269880 36123000 40337350 48404820 60506025 80674700 96809640 100843375 121012050 161349400 201686750 242024100 302530125 403373500 484048200 605060250 806747000 1210120500 2420241000