2053711920 has 320 divisors, whose sum is σ = 7103545344. Its totient is φ = 487710720.

The previous prime is 2053711909. The next prime is 2053711921. The reversal of 2053711920 is 291173502.

2053711920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2053711921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16170897 + ... + 16171023.

Almost surely, 2^2053711920 is an apocalyptic number.

2053711920 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 2053711920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551772672).

2053711920 is an abundant number, since it is smaller than the sum of its proper divisors (5049833424).

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

2053711920 is a wasteful number, since it uses less digits than its factorization.

2053711920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 2053711920 is about 45317.8984508329. The cubic root of 2053711920 is about 1271.1003586833.

The spelling of 2053711920 in words is "two billion, fifty-three million, seven hundred eleven thousand, nine hundred twenty".