2160627460320 has 768 divisors, whose sum is σ = 8490169239552. Its totient is φ = 450613739520.

The previous prime is 2160627460319. The next prime is 2160627460391. The reversal of 2160627460320 is 230647260612.

It is a super-2 number, since 2×2160627460320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336490710 + ... + 336497130.

It is an arithmetic number, because the mean of its divisors is an integer number (11054907864).

Almost surely, 2^{2160627460320} is an apocalyptic number.

2160627460320 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 2160627460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245084619776).

2160627460320 is an abundant number, since it is smaller than the sum of its proper divisors (6329541779232).

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

2160627460320 is a wasteful number, since it uses less digits than its factorization.

2160627460320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 2160627460320 in words is "two trillion, one hundred sixty billion, six hundred twenty-seven million, four hundred sixty thousand, three hundred twenty".