2400648516 has 144 divisors (see below), whose sum is σ = 7346067456. Its totient is φ = 671216544.

The previous prime is 2400648493. The next prime is 2400648527. The reversal of 2400648516 is 6158460042.

2400648516 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 648 + 5 + 1 + 6 = 666.

It is a super-2 number, since 2×2400648516² = 11526226594746004512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 316035 + ... + 323541.

Almost surely, 2^2400648516 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 2400648516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673033728).

2400648516 is an abundant number, since it is smaller than the sum of its proper divisors (4945418940).

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

2400648516 is a wasteful number, since it uses less digits than its factorization.

2400648516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2400648516 is about 48996.4132973017. The cubic root of 2400648516 is about 1338.9864831869.

The spelling of 2400648516 in words is "two billion, four hundred million, six hundred forty-eight thousand, five hundred sixteen".