2615884656 has 480 divisors, whose sum is σ = 9355591680. Its totient is φ = 611020800.

The previous prime is 2615884627. The next prime is 2615884657. The reversal of 2615884656 is 6564885162.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (2764800) is a multiple of the sum of its prime divisors (150).

It is a junction number, because it is equal to n+sod(n) for n = 2615884599 and 2615884608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2615884657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33112425 + ... + 33112503.

It is an arithmetic number, because the mean of its divisors is an integer number (19490816).

Almost surely, 2^2615884656 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 2615884656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677795840).

2615884656 is an abundant number, since it is smaller than the sum of its proper divisors (6739707024).

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

2615884656 is a wasteful number, since it uses less digits than its factorization.

2615884656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The square root of 2615884656 is about 51145.7198209195. The cubic root of 2615884656 is about 1377.8635035071.

The spelling of 2615884656 in words is "two billion, six hundred fifteen million, eight hundred eighty-four thousand, six hundred fifty-six".