2652216591024 has 2880 divisors, whose sum is σ = 11418469171200. Its totient is φ = 576444211200.

The previous prime is 2652216590981. The next prime is 2652216591053. The reversal of 2652216591024 is 4201956122562.

2652216591024 is a `hidden beast` number, since 2 + 6 + 5 + 22 + 16 + 591 + 0 + 24 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29800186372 + ... + 29800186460.

It is an arithmetic number, because the mean of its divisors is an integer number (3964746240).

Almost surely, 2^{2652216591024} is an apocalyptic number.

2652216591024 is a gapful number since it is divisible by the number (24) 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 2652216591024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709234585600).

2652216591024 is an abundant number, since it is smaller than the sum of its proper divisors (8766252580176).

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

2652216591024 is a wasteful number, since it uses less digits than its factorization.

2652216591024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2652216591024 in words is "two trillion, six hundred fifty-two billion, two hundred sixteen million, five hundred ninety-one thousand, twenty-four".