2616405120 has 192 divisors, whose sum is σ = 10325615040. Its totient is φ = 598026240.

The previous prime is 2616405109. The next prime is 2616405151. The reversal of 2616405120 is 215046162.

2616405120 is a `hidden beast` number, since 2 + 6 + 1 + 640 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7875 + ... + 72765.

It is an arithmetic number, because the mean of its divisors is an integer number (53779245).

Almost surely, 2^2616405120 is an apocalyptic number.

2616405120 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 2616405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162807520).

2616405120 is an abundant number, since it is smaller than the sum of its proper divisors (7709209920).

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

2616405120 is a wasteful number, since it uses less digits than its factorization.

2616405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64923 (or 64908 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2616405120 is about 51150.8076182576. The cubic root of 2616405120 is about 1377.9548786873.

The spelling of 2616405120 in words is "two billion, six hundred sixteen million, four hundred five thousand, one hundred twenty".