2053818144 has 288 divisors, whose sum is σ = 7217683200. Its totient is φ = 551835648.

The previous prime is 2053818083. The next prime is 2053818191. The reversal of 2053818144 is 4418183502.

2053818144 is a `hidden beast` number, since 2 + 0 + 538 + 1 + 81 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2053818099 and 2053818108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1678717 + ... + 1679939.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 2^2053818144 is an apocalyptic number.

2053818144 is a gapful number since it is divisible by the number (24) 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 2053818144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608841600).

2053818144 is an abundant number, since it is smaller than the sum of its proper divisors (5163865056).

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

2053818144 is a wasteful number, since it uses less digits than its factorization.

2053818144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2053818144 is about 45319.0704229467. The cubic root of 2053818144 is about 1271.1222733175.

The spelling of 2053818144 in words is "two billion, fifty-three million, eight hundred eighteen thousand, one hundred forty-four".