2053107648 has 140 divisors (see below), whose sum is σ = 6118155912. Its totient is φ = 680762880.

The previous prime is 2053107583. The next prime is 2053107691. The reversal of 2053107648 is 8467013502.

2053107648 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 1 + 0 + 7 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1092886 + ... + 1094762.

Almost surely, 2^2053107648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059077956).

2053107648 is an abundant number, since it is smaller than the sum of its proper divisors (4065048264).

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

2053107648 is a wasteful number, since it uses less digits than its factorization.

2053107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2053107648 is about 45311.2309256767. The cubic root of 2053107648 is about 1270.9756794470.

The spelling of 2053107648 in words is "two billion, fifty-three million, one hundred seven thousand, six hundred forty-eight".