2585274864 has 80 divisors (see below), whose sum is σ = 7177183488. Its totient is φ = 798944256.

The previous prime is 2585274859. The next prime is 2585274871. The reversal of 2585274864 is 4684725852.

It is a super-2 number, since 2×2585274864² = 13367292244860436992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31029 + ... + 78315.

Almost surely, 2^2585274864 is an apocalyptic number.

2585274864 is a gapful number since it is divisible by the number (24) 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 2585274864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588591744).

2585274864 is an abundant number, since it is smaller than the sum of its proper divisors (4591908624).

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

2585274864 is a wasteful number, since it uses less digits than its factorization.

2585274864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47382 (or 47376 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 51.

The square root of 2585274864 is about 50845.5982755636. The cubic root of 2585274864 is about 1372.4680437548.

The spelling of 2585274864 in words is "two billion, five hundred eighty-five million, two hundred seventy-four thousand, eight hundred sixty-four".