2572904194560 has 480 divisors, whose sum is σ = 10719640863360. Its totient is φ = 557139492864.

The previous prime is 2572904194519. The next prime is 2572904194573. The reversal of 2572904194560 is 654914092752.

It is a happy number.

2572904194560 is a `hidden beast` number, since 2 + 5 + 72 + 9 + 0 + 4 + 1 + 9 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 2572904194497 and 2572904194506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2644504 + ... + 3484136.

It is an arithmetic number, because the mean of its divisors is an integer number (22332585132).

Almost surely, 2^{2572904194560} is an apocalyptic number.

2572904194560 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 2572904194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359820431680).

2572904194560 is an abundant number, since it is smaller than the sum of its proper divisors (8146736668800).

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

2572904194560 is a wasteful number, since it uses less digits than its factorization.

2572904194560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839688 (or 839669 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2572904194560 in words is "two trillion, five hundred seventy-two billion, nine hundred four million, one hundred ninety-four thousand, five hundred sixty".