2588410806972 has 96 divisors (see below), whose sum is σ = 6314292472320. Its totient is φ = 824209747200.

The previous prime is 2588410806911. The next prime is 2588410806983. The reversal of 2588410806972 is 2796080148852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50130393 + ... + 50181999.

It is an arithmetic number, because the mean of its divisors is an integer number (65773879920).

Almost surely, 2^{2588410806972} 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 2588410806972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157146236160).

2588410806972 is an abundant number, since it is smaller than the sum of its proper divisors (3725881665348).

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

2588410806972 is a wasteful number, since it uses less digits than its factorization.

2588410806972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53171 (or 53169 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 2588410806972 in words is "two trillion, five hundred eighty-eight billion, four hundred ten million, eight hundred six thousand, nine hundred seventy-two".