2574400640 has 64 divisors (see below), whose sum is σ = 7033642560. Its totient is φ = 882650112.

The previous prime is 2574400547. The next prime is 2574400651. The reversal of 2574400640 is 460044752.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2574400597 and 2574400606.

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 7 ways as a sum of consecutive naturals, for example, 282842 + ... + 291801.

It is an arithmetic number, because the mean of its divisors is an integer number (109900665).

Almost surely, 2^2574400640 is an apocalyptic number.

2574400640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2574400640 is an abundant number, since it is smaller than the sum of its proper divisors (4459241920).

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

2574400640 is an equidigital number, since it uses as much as digits as its factorization.

2574400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574669 (or 574657 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 2574400640 is about 50738.5518122069. The cubic root of 2574400640 is about 1370.5410404999.

The spelling of 2574400640 in words is "two billion, five hundred seventy-four million, four hundred thousand, six hundred forty".