2583275260 has 48 divisors (see below), whose sum is σ = 5605528320. Its totient is φ = 998968320.

The previous prime is 2583275231. The next prime is 2583275263. The reversal of 2583275260 is 625723852.

It is a super-2 number, since 2×2583275260² = 13346622137856135200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583275263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988836 + ... + 991444.

It is an arithmetic number, because the mean of its divisors is an integer number (116781840).

Almost surely, 2^2583275260 is an apocalyptic number.

2583275260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2583275260 is an abundant number, since it is smaller than the sum of its proper divisors (3022253060).

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

2583275260 is a wasteful number, since it uses less digits than its factorization.

2583275260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 2583275260 is about 50825.9309801601. The cubic root of 2583275260 is about 1372.1141032524.

The spelling of 2583275260 in words is "two billion, five hundred eighty-three million, two hundred seventy-five thousand, two hundred sixty".