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2042230604720 = 24597568346309
BaseRepresentation
bin11101101101111110011…
…011100000001110110000
321020020100120011211220012
4131231332123200032300
5231424442013322340
64202104321234052
7300355243502435
oct35557633401660
97206316154805
102042230604720
11718117a321a9
1228b96aa92928
1311a7737a2587
1470bb73c3b8c
15381ca729565
hex1db7e6e03b0

2042230604720 has 80 divisors (see below), whose sum is σ = 4798084257120. Its totient is φ = 808310956032.

The previous prime is 2042230604717. The next prime is 2042230604741. The reversal of 2042230604720 is 274060322402.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44076926 + ... + 44123234.

It is an arithmetic number, because the mean of its divisors is an integer number (59976053214).

Almost surely, 22042230604720 is an apocalyptic number.

2042230604720 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 2042230604720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399042128560).

2042230604720 is an abundant number, since it is smaller than the sum of its proper divisors (2755853652400).

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

2042230604720 is a wasteful number, since it uses less digits than its factorization.

2042230604720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52102 (or 52096 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The spelling of 2042230604720 in words is "two trillion, forty-two billion, two hundred thirty million, six hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 5683 7760 11366 22732 28415 45464 46309 56830 90928 92618 113660 185236 227320 231545 370472 454640 463090 551251 740944 926180 1102502 1852360 2205004 2756255 3704720 4410008 4491973 5512510 8820016 8983946 11025020 17967892 22050040 22459865 35935784 44100080 44919730 71871568 89839460 179678920 263174047 359357840 526348094 1052696188 1315870235 2105392376 2631740470 4210784752 5263480940 10526961880 21053923760 25527882559 51055765118 102111530236 127639412795 204223060472 255278825590 408446120944 510557651180 1021115302360 2042230604720