2149960320 has 320 divisors, whose sum is σ = 7805080800. Its totient is φ = 563853312.

The previous prime is 2149960313. The next prime is 2149960321. The reversal of 2149960320 is 230699412.

2149960320 is a `hidden beast` number, since 2 + 1 + 49 + 9 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (2149960321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3472971 + ... + 3473589.

Almost surely, 2^2149960320 is an apocalyptic number.

2149960320 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 2149960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902540400).

2149960320 is an abundant number, since it is smaller than the sum of its proper divisors (5655120480).

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

2149960320 is an equidigital number, since it uses as much as digits as its factorization.

2149960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2149960320 is about 46367.6645950602. The cubic root of 2149960320 is about 1290.6549405472.

The spelling of 2149960320 in words is "two billion, one hundred forty-nine million, nine hundred sixty thousand, three hundred twenty".