2539874400 has 576 divisors, whose sum is σ = 10174348800. Its totient is φ = 537477120.

The previous prime is 2539874387. The next prime is 2539874401. The reversal of 2539874400 is 44789352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2539874401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23301546 + ... + 23301654.

It is an arithmetic number, because the mean of its divisors is an integer number (17663800).

Almost surely, 2^2539874400 is an apocalyptic number.

2539874400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2539874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087174400).

2539874400 is an abundant number, since it is smaller than the sum of its proper divisors (7634474400).

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

2539874400 is a wasteful number, since it uses less digits than its factorization.

2539874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2539874400 is about 50397.1665870215. The cubic root of 2539874400 is about 1364.3864999209.

The spelling of 2539874400 in words is "two billion, five hundred thirty-nine million, eight hundred seventy-four thousand, four hundred".