2584122372 has 96 divisors (see below), whose sum is σ = 7463836800. Its totient is φ = 767684736.

The previous prime is 2584122361. The next prime is 2584122391. The reversal of 2584122372 is 2732214852.

2584122372 is a `hidden beast` number, since 2 + 5 + 8 + 412 + 237 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8983 + ... + 72449.

It is an arithmetic number, because the mean of its divisors is an integer number (77748300).

Almost surely, 2^2584122372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2584122372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731918400).

2584122372 is an abundant number, since it is smaller than the sum of its proper divisors (4879714428).

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

2584122372 is a wasteful number, since it uses less digits than its factorization.

2584122372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63522 (or 63514 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2584122372 is about 50834.2637597910. The cubic root of 2584122372 is about 1372.2640688551.

The spelling of 2584122372 in words is "two billion, five hundred eighty-four million, one hundred twenty-two thousand, three hundred seventy-two".