2053742544 has 240 divisors, whose sum is σ = 6727378944. Its totient is φ = 572832000.

The previous prime is 2053742513. The next prime is 2053742557. The reversal of 2053742544 is 4452473502.

2053742544 is a `hidden beast` number, since 20 + 53 + 7 + 42 + 544 = 666.

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 = 2053742499 and 2053742508.

It is a congruent number.

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, 13600869 + ... + 13601019.

Almost surely, 2^2053742544 is an apocalyptic number.

2053742544 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 2053742544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363689472).

2053742544 is an abundant number, since it is smaller than the sum of its proper divisors (4673636400).

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

2053742544 is a wasteful number, since it uses less digits than its factorization.

2053742544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 2053742544 is about 45318.2363293189. The cubic root of 2053742544 is about 1271.1066766716.

The spelling of 2053742544 in words is "two billion, fifty-three million, seven hundred forty-two thousand, five hundred forty-four".