2574596961 has 32 divisors (see below), whose sum is σ = 3877386240. Its totient is φ = 1688202000.

The previous prime is 2574596951. The next prime is 2574596963. The reversal of 2574596961 is 1696954752.

2574596961 is a `hidden beast` number, since 2 + 574 + 5 + 9 + 6 + 9 + 61 = 666.

It is not a de Polignac number, because 2574596961 - 2⁵ = 2574596929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2574596898 and 2574596907.

It is not an unprimeable number, because it can be changed into a prime (2574596963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416866 + ... + 422996.

It is an arithmetic number, because the mean of its divisors is an integer number (121168320).

Almost surely, 2^2574596961 is an apocalyptic number.

It is an amenable number.

2574596961 is a deficient number, since it is larger than the sum of its proper divisors (1302789279).

2574596961 is a wasteful number, since it uses less digits than its factorization.

2574596961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6388 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 2574596961 is about 50740.4864087841. The cubic root of 2574596961 is about 1370.5758782720.

The spelling of 2574596961 in words is "two billion, five hundred seventy-four million, five hundred ninety-six thousand, nine hundred sixty-one".