2583840864 has 48 divisors (see below), whose sum is σ = 7399183680. Its totient is φ = 782981760.

The previous prime is 2583840859. The next prime is 2583840871. The reversal of 2583840864 is 4680483852.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2583840864² = 13352467220952532992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222354 + ... + 1224465.

It is an arithmetic number, because the mean of its divisors is an integer number (154149660).

Almost surely, 2^2583840864 is an apocalyptic number.

2583840864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2583840864 is an abundant number, since it is smaller than the sum of its proper divisors (4815342816).

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

2583840864 is a wasteful number, since it uses less digits than its factorization.

2583840864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446843 (or 2446835 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 2583840864 is about 50831.4948039107. The cubic root of 2583840864 is about 1372.2142366766.

The spelling of 2583840864 in words is "two billion, five hundred eighty-three million, eight hundred forty thousand, eight hundred sixty-four".