2651615508960 has 1728 divisors, whose sum is σ = 11058645491712. Its totient is φ = 575410176000.

The previous prime is 2651615508937. The next prime is 2651615509003. The reversal of 2651615508960 is 698055161562.

2651615508960 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 6 + 1 + 550 + 89 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2651615508897 and 2651615508906.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 6152239945 + ... + 6152240375.

It is an arithmetic number, because the mean of its divisors is an integer number (6399679104).

Almost surely, 2^{2651615508960} is an apocalyptic number.

2651615508960 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 2651615508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529322745856).

2651615508960 is an abundant number, since it is smaller than the sum of its proper divisors (8407029982752).

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

2651615508960 is a wasteful number, since it uses less digits than its factorization.

2651615508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 2651615508960 in words is "two trillion, six hundred fifty-one billion, six hundred fifteen million, five hundred eight thousand, nine hundred sixty".