2400557412 has 96 divisors (see below), whose sum is σ = 6197990400. Its totient is φ = 717102720.

The previous prime is 2400557407. The next prime is 2400557417. The reversal of 2400557412 is 2147550042.

It is an interprime number because it is at equal distance from previous prime (2400557407) and next prime (2400557417).

It is a self number, because there is not a number n which added to its sum of digits gives 2400557412.

It is not an unprimeable number, because it can be changed into a prime (2400557417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4929033 + ... + 4929519.

It is an arithmetic number, because the mean of its divisors is an integer number (64562400).

Almost surely, 2^2400557412 is an apocalyptic number.

2400557412 is a gapful number since it is divisible by the number (22) 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 2400557412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098995200).

2400557412 is an abundant number, since it is smaller than the sum of its proper divisors (3797432988).

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

2400557412 is a wasteful number, since it uses less digits than its factorization.

2400557412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 2400557412 is about 48995.4835877757. The cubic root of 2400557412 is about 1338.9695449073.

The spelling of 2400557412 in words is "two billion, four hundred million, five hundred fifty-seven thousand, four hundred twelve".