2532642840 has 384 divisors, whose sum is σ = 10247852160. Its totient is φ = 528187392.

The previous prime is 2532642811. The next prime is 2532642851. The reversal of 2532642840 is 482462352.

2532642840 = 5587² + 5588² + ... + 5666².

2532642840 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 642 + 8 + 4 + 0 = 666.

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 = 2532642795 and 2532642804.

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 95 ways as a sum of consecutive naturals, for example, 3177322 + ... + 3178118.

It is an arithmetic number, because the mean of its divisors is an integer number (26687115).

Almost surely, 2^2532642840 is an apocalyptic number.

2532642840 is a gapful number since it is divisible by the number (20) 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 2532642840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123926080).

2532642840 is an abundant number, since it is smaller than the sum of its proper divisors (7715209320).

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

2532642840 is a wasteful number, since it uses less digits than its factorization.

2532642840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2532642840 is about 50325.3697452885. The cubic root of 2532642840 is about 1363.0903699734.

The spelling of 2532642840 in words is "two billion, five hundred thirty-two million, six hundred forty-two thousand, eight hundred forty".