2653051600 has 60 divisors (see below), whose sum is σ = 6379329420. Its totient is φ = 1060326400.

The previous prime is 2653051571. The next prime is 2653051627. The reversal of 2653051600 is 61503562.

It can be written as a sum of positive squares in 6 ways, for example, as 155451024 + 2497600576 = 12468^2 + 49976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681660 + ... + 685540.

It is an arithmetic number, because the mean of its divisors is an integer number (106322157).

Almost surely, 2^2653051600 is an apocalyptic number.

2653051600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2653051600 is an abundant number, since it is smaller than the sum of its proper divisors (3726277820).

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

2653051600 is a wasteful number, since it uses less digits than its factorization.

2653051600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 2653051600 is about 51507.7819363249. The cubic root of 2653051600 is about 1384.3584807633.

The spelling of 2653051600 in words is "two billion, six hundred fifty-three million, fifty-one thousand, six hundred".