2400416508672 has 720 divisors, whose sum is σ = 9047717369152. Its totient is φ = 615948779520.

The previous prime is 2400416508667. The next prime is 2400416508673. The reversal of 2400416508672 is 2768056140042.

2400416508672 is a `hidden beast` number, since 2 + 40 + 0 + 41 + 6 + 508 + 67 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2400416508673) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69800922 + ... + 69835302.

Almost surely, 2^{2400416508672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400416508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523858684576).

2400416508672 is an abundant number, since it is smaller than the sum of its proper divisors (6647300860480).

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

2400416508672 is a wasteful number, since it uses less digits than its factorization.

2400416508672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34466 (or 34443 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2400416508672 in words is "two trillion, four hundred billion, four hundred sixteen million, five hundred eight thousand, six hundred seventy-two".