2400513456 has 40 divisors (see below), whose sum is σ = 6765084864. Its totient is φ = 727428160.

The previous prime is 2400513449. The next prime is 2400513457. The reversal of 2400513456 is 6543150042.

2400513456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2400513457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2272686 + ... + 2273741.

Almost surely, 2^2400513456 is an apocalyptic number.

It is an amenable number.

2400513456 is an abundant number, since it is smaller than the sum of its proper divisors (4364571408).

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

2400513456 is a wasteful number, since it uses less digits than its factorization.

2400513456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546449 (or 4546443 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2400513456 is about 48995.0350137644. The cubic root of 2400513456 is about 1338.9613723465.

Adding to 2400513456 its reverse (6543150042), we get a palindrome (8943663498).

The spelling of 2400513456 in words is "two billion, four hundred million, five hundred thirteen thousand, four hundred fifty-six".