2159724672 has 192 divisors, whose sum is σ = 7140456960. Its totient is φ = 613785600.

The previous prime is 2159724653. The next prime is 2159724689. The reversal of 2159724672 is 2764279512.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1797672 + ... + 1798872.

It is an arithmetic number, because the mean of its divisors is an integer number (37189880).

Almost surely, 2^2159724672 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 2159724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570228480).

2159724672 is an abundant number, since it is smaller than the sum of its proper divisors (4980732288).

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

2159724672 is a wasteful number, since it uses less digits than its factorization.

2159724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1436 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2159724672 is about 46472.8380024289. The cubic root of 2159724672 is about 1292.6058879636.

The spelling of 2159724672 in words is "two billion, one hundred fifty-nine million, seven hundred twenty-four thousand, six hundred seventy-two".