2615961600 has 432 divisors, whose sum is σ = 10720251360. Its totient is φ = 597196800.

The previous prime is 2615961589. The next prime is 2615961611. The reversal of 2615961600 is 61695162.

2615961600 is a `hidden beast` number, since 2 + 6 + 1 + 596 + 1 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2615961589) and next prime (2615961611).

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 35 ways as a sum of consecutive naturals, for example, 3225195 + ... + 3226005.

Almost surely, 2^2615961600 is an apocalyptic number.

2615961600 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 2615961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360125680).

2615961600 is an abundant number, since it is smaller than the sum of its proper divisors (8104289760).

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

2615961600 is a wasteful number, since it uses less digits than its factorization.

2615961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2615961600 is about 51146.4720190943. The cubic root of 2615961600 is about 1377.8770129318.

The spelling of 2615961600 in words is "two billion, six hundred fifteen million, nine hundred sixty-one thousand, six hundred".