2504040397056 has 891 divisors, whose sum is σ = 8469699326193. Its totient is φ = 738292008960.

The previous prime is 2504040397043. The next prime is 2504040397087. The reversal of 2504040397056 is 6507930404052.

The square root of 2504040397056 is 1582416.

It is a perfect power (a square), and thus also a powerful number.

2504040397056 is a `hidden beast` number, since 2 + 504 + 0 + 4 + 0 + 3 + 97 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2240649734400 + 263390662656 = 1496880^2 + 513216^2 .

It is a tau number, because it is divible by the number of its divisors (891).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 67676767470 + ... + 67676767506.

Almost surely, 2^{2504040397056} is an apocalyptic number.

2504040397056 is the 1582416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504040397056

2504040397056 is an abundant number, since it is smaller than the sum of its proper divisors (5965658929137).

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

2504040397056 is an frugal number, since it uses more digits than its factorization.

2504040397056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2504040397056 in words is "two trillion, five hundred four billion, forty million, three hundred ninety-seven thousand, fifty-six".