2053736608 has 288 divisors, whose sum is σ = 5559902208. Its totient is φ = 736243200.

The previous prime is 2053736603. The next prime is 2053736611. The reversal of 2053736608 is 8066373502.

It is not an unprimeable number, because it can be changed into a prime (2053736603) by changing a digit.

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, 12297741 + ... + 12297907.

It is an arithmetic number, because the mean of its divisors is an integer number (19305216).

Almost surely, 2^2053736608 is an apocalyptic number.

2053736608 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 2053736608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779951104).

2053736608 is an abundant number, since it is smaller than the sum of its proper divisors (3506165600).

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

2053736608 is a wasteful number, since it uses less digits than its factorization.

2053736608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 2053736608 is about 45318.1708368729. The cubic root of 2053736608 is about 1271.1054520299.

The spelling of 2053736608 in words is "two billion, fifty-three million, seven hundred thirty-six thousand, six hundred eight".