2584082064 has 20 divisors (see below), whose sum is σ = 6675545456. Its totient is φ = 861360672.

The previous prime is 2584081987. The next prime is 2584082147. The reversal of 2584082064 is 4602804852.

It is a super-2 number, since 2×2584082064² = 13354960226973000192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26917474 + ... + 26917569.

Almost surely, 2^2584082064 is an apocalyptic number.

2584082064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2584082064 is an abundant number, since it is smaller than the sum of its proper divisors (4091463392).

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

2584082064 is a wasteful number, since it uses less digits than its factorization.

2584082064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53835054 (or 53835048 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2584082064 is about 50833.8672933705. The cubic root of 2584082064 is about 1372.2569338076.

The spelling of 2584082064 in words is "two billion, five hundred eighty-four million, eighty-two thousand, sixty-four".