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2072307384840 = 23357112340124317
BaseRepresentation
bin11110001001111111001…
…001010100001000001000
321100002222122221120210110
4132021333021110020020
5232423041142303330
64224001015114320
7302501465064150
oct36117711241010
97302878846713
102072307384840
11729951548280
122957636729a0
13120557a3b2a4
147242bad7760
1538d8ae6cdb0
hex1e27f254208

2072307384840 has 512 divisors, whose sum is σ = 8108469411840. Its totient is φ = 410843136000.

The previous prime is 2072307384809. The next prime is 2072307384857. The reversal of 2072307384840 is 484837032702.

It is a self number, because there is not a number n which added to its sum of digits gives 2072307384840.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85208362 + ... + 85232678.

It is an arithmetic number, because the mean of its divisors is an integer number (15836854320).

Almost surely, 22072307384840 is an apocalyptic number.

2072307384840 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 2072307384840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054234705920).

2072307384840 is an abundant number, since it is smaller than the sum of its proper divisors (6036162027000).

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

2072307384840 is a wasteful number, since it uses less digits than its factorization.

2072307384840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24773 (or 24769 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 2072307384840 in words is "two trillion, seventy-two billion, three hundred seven million, three hundred eighty-four thousand, eight hundred forty".