2531874960 has 240 divisors, whose sum is σ = 9064134144. Its totient is φ = 631876608.

The previous prime is 2531874953. The next prime is 2531874971. The reversal of 2531874960 is 694781352.

2531874960 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

2531874960 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776694 + ... + 779946.

It is a 1-persistent number, because it is pandigital, but 2⋅2531874960 = 5063749920 is not.

Almost surely, 2^2531874960 is an apocalyptic number.

2531874960 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 2531874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532067072).

2531874960 is an abundant number, since it is smaller than the sum of its proper divisors (6532259184).

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

2531874960 is a wasteful number, since it uses less digits than its factorization.

2531874960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2531874960 is about 50317.7400128424. The cubic root of 2531874960 is about 1362.9525961537.

The spelling of 2531874960 in words is "two billion, five hundred thirty-one million, eight hundred seventy-four thousand, nine hundred sixty".