2400610653 has 48 divisors (see below), whose sum is σ = 4136985216. Its totient is φ = 1312744320.

The previous prime is 2400610649. The next prime is 2400610661. The reversal of 2400610653 is 3560160042.

2400610653 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 6 + 1 + 0 + 653 = 666.

It is not a de Polignac number, because 2400610653 - 2² = 2400610649 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400614653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133750 + ... + 150632.

It is an arithmetic number, because the mean of its divisors is an integer number (86187192).

Almost surely, 2^2400610653 is an apocalyptic number.

It is an amenable number.

2400610653 is a deficient number, since it is larger than the sum of its proper divisors (1736374563).

2400610653 is a wasteful number, since it uses less digits than its factorization.

2400610653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16994 (or 16991 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2400610653 is about 48996.0269103526. The cubic root of 2400610653 is about 1338.9794436569.

Adding to 2400610653 its reverse (3560160042), we get a palindrome (5960770695).

The spelling of 2400610653 in words is "two billion, four hundred million, six hundred ten thousand, six hundred fifty-three".