2400657 has 16 divisors (see below), whose sum is σ = 3734400. Its totient is φ = 1371216.

The previous prime is 2400623. The next prime is 2400661. The reversal of 2400657 is 7560042.

It is a happy number.

It is not a de Polignac number, because 2400657 - 2¹⁰ = 2399633 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2400667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138 + ... + 2195.

It is an arithmetic number, because the mean of its divisors is an integer number (233400).

2^2400657 is an apocalyptic number.

It is an amenable number.

2400657 is a deficient number, since it is larger than the sum of its proper divisors (1333743).

2400657 is an equidigital number, since it uses as much as digits as its factorization.

2400657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2400657 is about 1549.4053698113. The cubic root of 2400657 is about 133.8988060531.

Adding to 2400657 its reverse (7560042), we get a palindrome (9960699).

The spelling of 2400657 in words is "two million, four hundred thousand, six hundred fifty-seven".