2590127376 has 160 divisors (see below), whose sum is σ = 7106211840. Its totient is φ = 811814400.

The previous prime is 2590127369. The next prime is 2590127401. The reversal of 2590127376 is 6737210952.

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, 14310006 + ... + 14310186.

It is an arithmetic number, because the mean of its divisors is an integer number (44413824).

Almost surely, 2^2590127376 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 2590127376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553105920).

2590127376 is an abundant number, since it is smaller than the sum of its proper divisors (4516084464).

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

2590127376 is a wasteful number, since it uses less digits than its factorization.

2590127376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 2590127376 is about 50893.2940179745. The cubic root of 2590127376 is about 1373.3262059097.

The spelling of 2590127376 in words is "two billion, five hundred ninety million, one hundred twenty-seven thousand, three hundred seventy-six".