2653354368 has 256 divisors, whose sum is σ = 9088934400. Its totient is φ = 746330112.

The previous prime is 2653354357. The next prime is 2653354421. The reversal of 2653354368 is 8634533562.

2653354368 is a `hidden beast` number, since 2 + 6 + 533 + 54 + 3 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1620046 + ... + 1621682.

It is an arithmetic number, because the mean of its divisors is an integer number (35503650).

Almost surely, 2^2653354368 is an apocalyptic number.

2653354368 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 2653354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544467200).

2653354368 is an abundant number, since it is smaller than the sum of its proper divisors (6435580032).

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

2653354368 is a wasteful number, since it uses less digits than its factorization.

2653354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1716 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 2653354368 is about 51510.7209035168. The cubic root of 2653354368 is about 1384.4111400614.

The spelling of 2653354368 in words is "two billion, six hundred fifty-three million, three hundred fifty-four thousand, three hundred sixty-eight".