2144905920 has 280 divisors, whose sum is σ = 7729478064. Its totient is φ = 564516864.

The previous prime is 2144905913. The next prime is 2144905943. The reversal of 2144905920 is 295094412.

2144905920 is a `hidden beast` number, since 21 + 4 + 49 + 0 + 592 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2150862 + ... + 2151858.

Almost surely, 2^2144905920 is an apocalyptic number.

2144905920 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 2144905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864739032).

2144905920 is an abundant number, since it is smaller than the sum of its proper divisors (5584572144).

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

2144905920 is an equidigital number, since it uses as much as digits as its factorization.

2144905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2144905920 is about 46313.1290240683. The cubic root of 2144905920 is about 1289.6427350291.

The spelling of 2144905920 in words is "two billion, one hundred forty-four million, nine hundred five thousand, nine hundred twenty".