2465008700 has 432 divisors, whose sum is σ = 7480771200. Its totient is φ = 694310400.

The previous prime is 2465008699. The next prime is 2465008723. The reversal of 2465008700 is 78005642.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29698859 + ... + 29698941.

It is an arithmetic number, because the mean of its divisors is an integer number (17316600).

Almost surely, 2^2465008700 is an apocalyptic number.

2465008700 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 2465008700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740385600).

2465008700 is an abundant number, since it is smaller than the sum of its proper divisors (5015762500).

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

2465008700 is a wasteful number, since it uses less digits than its factorization.

2465008700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2465008700 is about 49648.8539646184. The cubic root of 2465008700 is about 1350.8469673726.

The spelling of 2465008700 in words is "two billion, four hundred sixty-five million, eight thousand, seven hundred".