2504114052 has 96 divisors (see below), whose sum is σ = 6745503744. Its totient is φ = 715545600.

The previous prime is 2504114027. The next prime is 2504114089.

2504114052 is nontrivially palindromic in base 10.

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, 209748 + ... + 221364.

It is an arithmetic number, because the mean of its divisors is an integer number (70265664).

Almost surely, 2^2504114052 is an apocalyptic number.

2504114052 is a gapful number since it is divisible by the number (22) 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 2504114052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372751872).

2504114052 is an abundant number, since it is smaller than the sum of its proper divisors (4241389692).

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

2504114052 is a wasteful number, since it uses less digits than its factorization.

2504114052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2504114052 is about 50041.1236084882. The cubic root of 2504114052 is about 1357.9528839727.

It can be divided in two parts, 25041 and 14052, that added together give a palindrome (39093).

The spelling of 2504114052 in words is "two billion, five hundred four million, one hundred fourteen thousand, fifty-two".