2159576640 has 840 divisors, whose sum is σ = 9111401640. Its totient is φ = 483065856.

The previous prime is 2159576599. The next prime is 2159576687. The reversal of 2159576640 is 466759512.

2159576640 is a `hidden beast` number, since 2 + 15 + 9 + 576 + 64 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 884229696 + 1275346944 = 29736^2 + 35712^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74468146 + ... + 74468174.

Almost surely, 2^2159576640 is an apocalyptic number.

2159576640 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 2159576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555700820).

2159576640 is an abundant number, since it is smaller than the sum of its proper divisors (6951825000).

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

2159576640 is a wasteful number, since it uses less digits than its factorization.

2159576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2159576640 is about 46471.2453028752. The cubic root of 2159576640 is about 1292.5763546610.

The spelling of 2159576640 in words is "two billion, one hundred fifty-nine million, five hundred seventy-six thousand, six hundred forty".