2585374824 has 128 divisors (see below), whose sum is σ = 7111152000. Its totient is φ = 779649024.

The previous prime is 2585374819. The next prime is 2585374829. The reversal of 2585374824 is 4284735852.

It is an interprime number because it is at equal distance from previous prime (2585374819) and next prime (2585374829).

It is not an unprimeable number, because it can be changed into a prime (2585374829) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4176387 + ... + 4177005.

It is an arithmetic number, because the mean of its divisors is an integer number (55555875).

Almost surely, 2^2585374824 is an apocalyptic number.

2585374824 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 2585374824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555576000).

2585374824 is an abundant number, since it is smaller than the sum of its proper divisors (4525777176).

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

2585374824 is a wasteful number, since it uses less digits than its factorization.

2585374824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The square root of 2585374824 is about 50846.5812420068. The cubic root of 2585374824 is about 1372.4857324140.

The spelling of 2585374824 in words is "two billion, five hundred eighty-five million, three hundred seventy-four thousand, eight hundred twenty-four".