2792506844160 has 1188 divisors, whose sum is σ = 11304505121364. Its totient is φ = 636781854720.

The previous prime is 2792506844119. The next prime is 2792506844167. The reversal of 2792506844160 is 614486052972.

2792506844160 is a `hidden beast` number, since 2 + 7 + 92 + 50 + 6 + 8 + 441 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 106474300416 + 2686032543744 = 326304^2 + 1638912^2 .

It is a super-2 number, since 2×2792506844160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2792506844097 and 2792506844106.

It is not an unprimeable number, because it can be changed into a prime (2792506844167) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1611370654 + ... + 1611372386.

Almost surely, 2^{2792506844160} is an apocalyptic number.

2792506844160 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 2792506844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652252560682).

2792506844160 is an abundant number, since it is smaller than the sum of its proper divisors (8511998277204).

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

2792506844160 is a wasteful number, since it uses less digits than its factorization.

2792506844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2792506844160 in words is "two trillion, seven hundred ninety-two billion, five hundred six million, eight hundred forty-four thousand, one hundred sixty".