2573792267904 has 1536 divisors, whose sum is σ = 9535896115200. Its totient is φ = 679908556800.

The previous prime is 2573792267863. The next prime is 2573792267953. The reversal of 2573792267904 is 4097622973752.

2573792267904 is a `hidden beast` number, since 257 + 3 + 79 + 226 + 7 + 90 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14219846694 + ... + 14219846874.

It is an arithmetic number, because the mean of its divisors is an integer number (6208265700).

Almost surely, 2^{2573792267904} is an apocalyptic number.

2573792267904 is a gapful number since it is divisible by the number (24) 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 2573792267904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767948057600).

2573792267904 is an abundant number, since it is smaller than the sum of its proper divisors (6962103847296).

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

2573792267904 is a wasteful number, since it uses less digits than its factorization.

2573792267904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 2573792267904 in words is "two trillion, five hundred seventy-three billion, seven hundred ninety-two million, two hundred sixty-seven thousand, nine hundred four".