2590167960 has 96 divisors (see below), whose sum is σ = 8434754640. Its totient is φ = 689340672.

The previous prime is 2590167947. The next prime is 2590168001. The reversal of 2590167960 is 697610952.

It is a happy number.

It is a super-2 number, since 2×2590167960² = 13417940122021123200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181402 + ... + 195158.

Almost surely, 2^2590167960 is an apocalyptic number.

2590167960 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 2590167960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217377320).

2590167960 is an abundant number, since it is smaller than the sum of its proper divisors (5844586680).

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

2590167960 is a wasteful number, since it uses less digits than its factorization.

2590167960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14297 (or 14290 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2590167960 is about 50893.6927329900. The cubic root of 2590167960 is about 1373.3333786303. Note that the first 4 decimals are identical.

The spelling of 2590167960 in words is "two billion, five hundred ninety million, one hundred sixty-seven thousand, nine hundred sixty".