2615616000 has 480 divisors, whose sum is σ = 9958291200. Its totient is φ = 658022400.

The previous prime is 2615615939. The next prime is 2615616007. The reversal of 2615616000 is 6165162.

It is a happy number.

2615616000 is a `hidden beast` number, since 2 + 6 + 1 + 56 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (2615616007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10943881 + ... + 10944119.

It is an arithmetic number, because the mean of its divisors is an integer number (20746440).

Almost surely, 2^2615616000 is an apocalyptic number.

2615616000 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 2615616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979145600).

2615616000 is an abundant number, since it is smaller than the sum of its proper divisors (7342675200).

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

2615616000 is a wasteful number, since it uses less digits than its factorization.

2615616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2615616000 is about 51143.0933753523. The cubic root of 2615616000 is about 1377.8163322159.

The spelling of 2615616000 in words is "two billion, six hundred fifteen million, six hundred sixteen thousand".