2053731680 has 192 divisors, whose sum is σ = 6515002368. Its totient is φ = 590837760.

The previous prime is 2053731661. The next prime is 2053731689. The reversal of 2053731680 is 861373502.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a house number.

It is a self number, because there is not a number n which added to its sum of digits gives 2053731680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053731689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153749 + ... + 166571.

It is an arithmetic number, because the mean of its divisors is an integer number (33932304).

Almost surely, 2^2053731680 is an apocalyptic number.

2053731680 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 2053731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257501184).

2053731680 is an abundant number, since it is smaller than the sum of its proper divisors (4461270688).

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

2053731680 is a wasteful number, since it uses less digits than its factorization.

2053731680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12869 (or 12861 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 2053731680 is about 45318.1164657138. The cubic root of 2053731680 is about 1271.1044353444.

The spelling of 2053731680 in words is "two billion, fifty-three million, seven hundred thirty-one thousand, six hundred eighty".