2615232672 has 216 divisors, whose sum is σ = 8511509916. Its totient is φ = 757039104.

The previous prime is 2615232661. The next prime is 2615232701. The reversal of 2615232672 is 2762325162.

2615232672 is a `hidden beast` number, since 2 + 61 + 523 + 2 + 6 + 72 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2266140816 + 349091856 = 47604^2 + 18684^2 .

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, 1080808 + ... + 1083224.

Almost surely, 2^2615232672 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 2615232672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255754958).

2615232672 is an abundant number, since it is smaller than the sum of its proper divisors (5896277244).

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

2615232672 is a wasteful number, since it uses less digits than its factorization.

2615232672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2452 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2615232672 is about 51139.3456352347. The cubic root of 2615232672 is about 1377.7490209360.

The spelling of 2615232672 in words is "two billion, six hundred fifteen million, two hundred thirty-two thousand, six hundred seventy-two".