2574738432 has 264 divisors, whose sum is σ = 8598972096. Its totient is φ = 726810624.

The previous prime is 2574738421. The next prime is 2574738433. The reversal of 2574738432 is 2348374752.

2574738432 is a `hidden beast` number, since 2 + 574 + 7 + 38 + 43 + 2 = 666.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2574738433) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6902598 + ... + 6902970.

It is an arithmetic number, because the mean of its divisors is an integer number (32571864).

Almost surely, 2^2574738432 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 2574738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299486048).

2574738432 is an abundant number, since it is smaller than the sum of its proper divisors (6024233664).

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

2574738432 is a wasteful number, since it uses less digits than its factorization.

2574738432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 492 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 2574738432 is about 50741.8804539209. The cubic root of 2574738432 is about 1370.6009816430.

The spelling of 2574738432 in words is "two billion, five hundred seventy-four million, seven hundred thirty-eight thousand, four hundred thirty-two".