2465135904 has 432 divisors, whose sum is σ = 8528079168. Its totient is φ = 620928000.

The previous prime is 2465135887. The next prime is 2465135917. The reversal of 2465135904 is 4095315642.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34720189 + ... + 34720259.

It is an arithmetic number, because the mean of its divisors is an integer number (19740924).

Almost surely, 2^2465135904 is an apocalyptic number.

2465135904 is a gapful number since it is divisible by the number (24) 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 2465135904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264039584).

2465135904 is an abundant number, since it is smaller than the sum of its proper divisors (6062943264).

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

2465135904 is a wasteful number, since it uses less digits than its factorization.

2465135904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 2465135904 is about 49650.1349847108. The cubic root of 2465135904 is about 1350.8702032855.

The spelling of 2465135904 in words is "two billion, four hundred sixty-five million, one hundred thirty-five thousand, nine hundred four".