2400636160 has 144 divisors (see below), whose sum is σ = 6266045520. Its totient is φ = 875888640.

The previous prime is 2400636103. The next prime is 2400636163. The reversal of 2400636160 is 616360042.

It can be written as a sum of positive squares in 8 ways, for example, as 196897024 + 2203739136 = 14032^2 + 46944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400636163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480150 + ... + 1481770.

It is an arithmetic number, because the mean of its divisors is an integer number (43514205).

Almost surely, 2^2400636160 is an apocalyptic number.

2400636160 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 2400636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133022760).

2400636160 is an abundant number, since it is smaller than the sum of its proper divisors (3865409360).

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

2400636160 is a wasteful number, since it uses less digits than its factorization.

2400636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2400636160 is about 48996.2872062772. The cubic root of 2400636160 is about 1338.9841859542.

The spelling of 2400636160 in words is "two billion, four hundred million, six hundred thirty-six thousand, one hundred sixty".