2161935360 has 440 divisors, whose sum is σ = 8363894616. Its totient is φ = 530841600.

The previous prime is 2161935353. The next prime is 2161935383. The reversal of 2161935360 is 635391612.

2161935360 is a `hidden beast` number, since 2 + 1 + 619 + 3 + 5 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 442008576 + 1719926784 = 21024^2 + 41472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391160 + ... + 5391560.

Almost surely, 2^2161935360 is an apocalyptic number.

2161935360 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 2161935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181947308).

2161935360 is an abundant number, since it is smaller than the sum of its proper divisors (6201959256).

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

2161935360 is a wasteful number, since it uses less digits than its factorization.

2161935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2161935360 is about 46496.6166511070. The cubic root of 2161935360 is about 1293.0467734653.

The spelling of 2161935360 in words is "two billion, one hundred sixty-one million, nine hundred thirty-five thousand, three hundred sixty".