2053868544 has 528 divisors, whose sum is σ = 7629905920. Its totient is φ = 517570560.

The previous prime is 2053868539. The next prime is 2053868567. The reversal of 2053868544 is 4458683502.

2053868544 is a `hidden beast` number, since 2 + 0 + 538 + 68 + 54 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2053868544.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25998297 + ... + 25998375.

Almost surely, 2^2053868544 is an apocalyptic number.

2053868544 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 2053868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814952960).

2053868544 is an abundant number, since it is smaller than the sum of its proper divisors (5576037376).

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

2053868544 is a wasteful number, since it uses less digits than its factorization.

2053868544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 2053868544 is about 45319.6264768367. The cubic root of 2053868544 is about 1271.1326708688.

The spelling of 2053868544 in words is "two billion, fifty-three million, eight hundred sixty-eight thousand, five hundred forty-four".