2653535808 has 672 divisors, whose sum is σ = 10269728000. Its totient is φ = 670602240.

The previous prime is 2653535791. The next prime is 2653535809. The reversal of 2653535808 is 8085353562.

2653535808 is a `hidden beast` number, since 2 + 6 + 535 + 35 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653535809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71717166 + ... + 71717202.

Almost surely, 2^2653535808 is an apocalyptic number.

2653535808 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 2653535808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134864000).

2653535808 is an abundant number, since it is smaller than the sum of its proper divisors (7616192192).

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

2653535808 is a wasteful number, since it uses less digits than its factorization.

2653535808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 2653535808 is about 51512.4820601764. The cubic root of 2653535808 is about 1384.4426953178.

The spelling of 2653535808 in words is "two billion, six hundred fifty-three million, five hundred thirty-five thousand, eight hundred eight".