2406607916328 has 288 divisors, whose sum is σ = 8273534724000. Its totient is φ = 624925566720.

The previous prime is 2406607916291. The next prime is 2406607916347. The reversal of 2406607916328 is 8236197066042.

2406607916328 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 607 + 9 + 1 + 6 + 3 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 219997083 + ... + 220008021.

It is an arithmetic number, because the mean of its divisors is an integer number (28727551125).

Almost surely, 2^{2406607916328} is an apocalyptic number.

2406607916328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406607916328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136767362000).

2406607916328 is an abundant number, since it is smaller than the sum of its proper divisors (5866926807672).

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

2406607916328 is a wasteful number, since it uses less digits than its factorization.

2406607916328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16645 (or 16631 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2406607916328 in words is "two trillion, four hundred six billion, six hundred seven million, nine hundred sixteen thousand, three hundred twenty-eight".