2753307648 has 528 divisors, whose sum is σ = 10133468800. Its totient is φ = 715309056.

The previous prime is 2753307617. The next prime is 2753307659. The reversal of 2753307648 is 8467033572.

2753307648 is a `hidden beast` number, since 2 + 7 + 533 + 0 + 76 + 48 = 666.

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, 41094111 + ... + 41094177.

Almost surely, 2^2753307648 is an apocalyptic number.

2753307648 is a gapful number since it is divisible by the number (28) 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 2753307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066734400).

2753307648 is an abundant number, since it is smaller than the sum of its proper divisors (7380161152).

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

2753307648 is a wasteful number, since it uses less digits than its factorization.

2753307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2753307648 is about 52471.9701173874. The cubic root of 2753307648 is about 1401.5811469285.

The spelling of 2753307648 in words is "two billion, seven hundred fifty-three million, three hundred seven thousand, six hundred forty-eight".