2625708384 has 216 divisors, whose sum is σ = 8207264520. Its totient is φ = 795764736.

The previous prime is 2625708383. The next prime is 2625708427. The reversal of 2625708384 is 4838075262.

2625708384 is a `hidden beast` number, since 262 + 5 + 7 + 0 + 8 + 384 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2625708383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3552687 + ... + 3553425.

It is an arithmetic number, because the mean of its divisors is an integer number (37996595).

Almost surely, 2^2625708384 is an apocalyptic number.

2625708384 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 2625708384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103632260).

2625708384 is an abundant number, since it is smaller than the sum of its proper divisors (5581556136).

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

2625708384 is a wasteful number, since it uses less digits than its factorization.

2625708384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2625708384 is about 51241.6664834390. Note that the first 3 decimals coincide. The cubic root of 2625708384 is about 1379.5861645059.

The spelling of 2625708384 in words is "two billion, six hundred twenty-five million, seven hundred eight thousand, three hundred eighty-four".