2508378752 has 32 divisors (see below), whose sum is σ = 5451451200. Its totient is φ = 1140171520.

The previous prime is 2508378749. The next prime is 2508378757. The reversal of 2508378752 is 2578738052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2508378697 and 2508378706.

It is not an unprimeable number, because it can be changed into a prime (2508378757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 889352 + ... + 892167.

It is an arithmetic number, because the mean of its divisors is an integer number (170357850).

Almost surely, 2^2508378752 is an apocalyptic number.

2508378752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2508378752 is an abundant number, since it is smaller than the sum of its proper divisors (2943072448).

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

2508378752 is a wasteful number, since it uses less digits than its factorization.

2508378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781544 (or 1781532 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 47.

The square root of 2508378752 is about 50083.7174339126. The cubic root of 2508378752 is about 1358.7233463659.

The spelling of 2508378752 in words is "two billion, five hundred eight million, three hundred seventy-eight thousand, seven hundred fifty-two".