2574978432 has 256 divisors, whose sum is σ = 7888043520. Its totient is φ = 738017280.

The previous prime is 2574978397. The next prime is 2574978437. The reversal of 2574978432 is 2348794752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2574978437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4707183 + ... + 4707729.

It is an arithmetic number, because the mean of its divisors is an integer number (30812670).

Almost surely, 2^2574978432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2574978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944021760).

2574978432 is an abundant number, since it is smaller than the sum of its proper divisors (5313065088).

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

2574978432 is a wasteful number, since it uses less digits than its factorization.

2574978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 2574978432 is about 50744.2453091974. The cubic root of 2574978432 is about 1370.6435664239.

The spelling of 2574978432 in words is "two billion, five hundred seventy-four million, nine hundred seventy-eight thousand, four hundred thirty-two".