2504052290520 has 768 divisors, whose sum is σ = 9603764352000. Its totient is φ = 559086796800.

The previous prime is 2504052290507. The next prime is 2504052290539. The reversal of 2504052290520 is 250922504052.

It is a happy number.

2504052290520 is a `hidden beast` number, since 2 + 5 + 0 + 40 + 5 + 2 + 2 + 90 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 664379196 + ... + 664382964.

It is an arithmetic number, because the mean of its divisors is an integer number (12504901500).

Almost surely, 2^{2504052290520} is an apocalyptic number.

2504052290520 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 2504052290520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801882176000).

2504052290520 is an abundant number, since it is smaller than the sum of its proper divisors (7099712061480).

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

2504052290520 is a wasteful number, since it uses less digits than its factorization.

2504052290520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 2504052290520 its reverse (250922504052), we get a palindrome (2754974794572).

The spelling of 2504052290520 in words is "two trillion, five hundred four billion, fifty-two million, two hundred ninety thousand, five hundred twenty".