2400915456 has 78 divisors (see below), whose sum is σ = 6935237790. Its totient is φ = 800292864.

The previous prime is 2400915437. The next prime is 2400915479. The reversal of 2400915456 is 6545190042.

2400915456 is a `hidden beast` number, since 24 + 0 + 0 + 91 + 545 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1549209600 + 851705856 = 39360^2 + 29184^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2400915456.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4300 + ... + 69428.

It is an arithmetic number, because the mean of its divisors is an integer number (88913305).

Almost surely, 2^2400915456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400915456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467618895).

2400915456 is an abundant number, since it is smaller than the sum of its proper divisors (4534322334).

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

2400915456 is an equidigital number, since it uses as much as digits as its factorization.

2400915456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65159 (or 65134 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2400915456 is about 48999.1372985280. The cubic root of 2400915456 is about 1339.0361108608.

The spelling of 2400915456 in words is "two billion, four hundred million, nine hundred fifteen thousand, four hundred fifty-six".