2406188160 has 256 divisors, whose sum is σ = 9024307200. Its totient is φ = 603832320.

The previous prime is 2406188159. The next prime is 2406188173. The reversal of 2406188160 is 618816042.

2406188160 is a `hidden beast` number, since 24 + 0 + 618 + 8 + 16 + 0 = 666.

It is a super-2 number, since 2×2406188160² = 11579482922648371200, 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289665 + ... + 297855.

It is an arithmetic number, because the mean of its divisors is an integer number (35251200).

Almost surely, 2^2406188160 is an apocalyptic number.

2406188160 is a gapful number since it is divisible by the number (20) 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 2406188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512153600).

2406188160 is an abundant number, since it is smaller than the sum of its proper divisors (6618119040).

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

2406188160 is a wasteful number, since it uses less digits than its factorization.

2406188160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2406188160 is about 49052.9118401752. The cubic root of 2406188160 is about 1340.0156231935.

The spelling of 2406188160 in words is "two billion, four hundred six million, one hundred eighty-eight thousand, one hundred sixty".