2159934604464 has 320 divisors, whose sum is σ = 7265312768000. Its totient is φ = 536955319296.

The previous prime is 2159934604417. The next prime is 2159934604493. The reversal of 2159934604464 is 4644064399512.

It is a super-2 number, since 2×2159934604464² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 63 ways as a sum of consecutive naturals, for example, 16450017 + ... + 16580799.

It is an arithmetic number, because the mean of its divisors is an integer number (22704102400).

Almost surely, 2^{2159934604464} is an apocalyptic number.

2159934604464 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 2159934604464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632656384000).

2159934604464 is an abundant number, since it is smaller than the sum of its proper divisors (5105378163536).

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

2159934604464 is a wasteful number, since it uses less digits than its factorization.

2159934604464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131032 (or 131026 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 2159934604464 in words is "two trillion, one hundred fifty-nine billion, nine hundred thirty-four million, six hundred four thousand, four hundred sixty-four".