2400252117664 has 12 divisors (see below), whose sum is σ = 4725496356714. Its totient is φ = 1200126058816.

The previous prime is 2400252117661. The next prime is 2400252117673. The reversal of 2400252117664 is 4667112520042.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1668385555600 + 731866562064 = 1291660^2 + 855492^2 .

It is a super-2 number, since 2×2400252117664² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2400252117661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37503939307 + ... + 37503939370.

Almost surely, 2^{2400252117664} is an apocalyptic number.

It is an amenable number.

2400252117664 is a deficient number, since it is larger than the sum of its proper divisors (2325244239050).

2400252117664 is an equidigital number, since it uses as much as digits as its factorization.

2400252117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75007878687 (or 75007878679 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 2400252117664 in words is "two trillion, four hundred billion, two hundred fifty-two million, one hundred seventeen thousand, six hundred sixty-four".