2585840040 has 96 divisors (see below), whose sum is σ = 9604558080. Its totient is φ = 591048576.

The previous prime is 2585840039. The next prime is 2585840057. The reversal of 2585840040 is 400485852.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2585839977 and 2585840004.

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, 510544 + ... + 515583.

It is an arithmetic number, because the mean of its divisors is an integer number (100047480).

Almost surely, 2^2585840040 is an apocalyptic number.

2585840040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585840040 is an abundant number, since it is smaller than the sum of its proper divisors (7018718040).

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

2585840040 is a wasteful number, since it uses less digits than its factorization.

2585840040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026151 (or 1026144 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2585840040 is about 50851.1557390783. The cubic root of 2585840040 is about 1372.5680498176.

The spelling of 2585840040 in words is "two billion, five hundred eighty-five million, eight hundred forty thousand, forty".