2600015616 has 216 divisors, whose sum is σ = 8239126896. Its totient is φ = 782008320.

The previous prime is 2600015603. The next prime is 2600015617. The reversal of 2600015616 is 6165100062.

It is a happy number.

2600015616 is a `hidden beast` number, since 2 + 600 + 0 + 1 + 56 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2600015616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2600015617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4384216 + ... + 4384808.

It is an arithmetic number, because the mean of its divisors is an integer number (38144106).

Almost surely, 2^2600015616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2600015616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119563448).

2600015616 is an abundant number, since it is smaller than the sum of its proper divisors (5639111280).

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

2600015616 is a wasteful number, since it uses less digits than its factorization.

2600015616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 782 counting only the distinct ones).

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

The square root of 2600015616 is about 50990.3482631762. The cubic root of 2600015616 is about 1375.0716200270.

Adding to 2600015616 its reverse (6165100062), we get a palindrome (8765115678).

It can be divided in two parts, 26000 and 15616, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 2600015616 in words is "two billion, six hundred million, fifteen thousand, six hundred sixteen".