2400460563151 has 32 divisors (see below), whose sum is σ = 2766812525568. Its totient is φ = 2040061056000.

The previous prime is 2400460563107. The next prime is 2400460563187. The reversal of 2400460563151 is 1513650640042.

It is a cyclic number.

It is not a de Polignac number, because 2400460563151 - 2²⁹ = 2399923692239 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2400460563151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400430563151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405001350 + ... + 405007276.

It is an arithmetic number, because the mean of its divisors is an integer number (86462891424).

Almost surely, 2^{2400460563151} is an apocalyptic number.

2400460563151 is a deficient number, since it is larger than the sum of its proper divisors (366351962417).

2400460563151 is a wasteful number, since it uses less digits than its factorization.

2400460563151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191.

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 2400460563151 in words is "two trillion, four hundred billion, four hundred sixty million, five hundred sixty-three thousand, one hundred fifty-one".