2504135088 has 400 divisors, whose sum is σ = 9452520000. Its totient is φ = 621084672.

The previous prime is 2504135083. The next prime is 2504135093. The reversal of 2504135088 is 8805314052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2504135083) and next prime (2504135093).

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

It is not an unprimeable number, because it can be changed into a prime (2504135083) 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 79 ways as a sum of consecutive naturals, for example, 2004288 + ... + 2005536.

It is an arithmetic number, because the mean of its divisors is an integer number (23631300).

Almost surely, 2^2504135088 is an apocalyptic number.

2504135088 is a gapful number since it is divisible by the number (28) 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 2504135088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726260000).

2504135088 is an abundant number, since it is smaller than the sum of its proper divisors (6948384912).

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

2504135088 is a wasteful number, since it uses less digits than its factorization.

2504135088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2504135088 is about 50041.3337951738. Note that the first 3 decimals coincide. The cubic root of 2504135088 is about 1357.9566864908.

The spelling of 2504135088 in words is "two billion, five hundred four million, one hundred thirty-five thousand, eighty-eight".