2504052000 has 144 divisors (see below), whose sum is σ = 8887008312. Its totient is φ = 667737600.

The previous prime is 2504051969. The next prime is 2504052029. The reversal of 2504052000 is 2504052.

It can be written as a sum of positive squares in 4 ways, for example, as 1021185936 + 1482866064 = 31956^2 + 38508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1222 + ... + 70778.

Almost surely, 2^2504052000 is an apocalyptic number.

2504052000 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 2504052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443504156).

2504052000 is an abundant number, since it is smaller than the sum of its proper divisors (6382956312).

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

2504052000 is a wasteful number, since it uses less digits than its factorization.

2504052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69588 (or 69567 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2504052000 is about 50040.5035945883. The cubic root of 2504052000 is about 1357.9416671796.

Adding to 2504052000 its reverse (2504052), we get a palindrome (2506556052).

2504052000 divided by its reverse (2504052) gives a cube (1000 = 10³).

It can be divided in two parts, 250405 and 2000, that added together give a triangular number (252405 = T₇₁₀).

The spelling of 2504052000 in words is "two billion, five hundred four million, fifty-two thousand".