2653865856 has 320 divisors, whose sum is σ = 8530790400. Its totient is φ = 816583680.

The previous prime is 2653865849. The next prime is 2653865867. The reversal of 2653865856 is 6585683562.

2653865856 is a `hidden beast` number, since 2 + 6 + 53 + 8 + 6 + 585 + 6 = 666.

It is a super-2 number, since 2×2653865856² = 14086007963285225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7392205 + ... + 7392563.

It is an arithmetic number, because the mean of its divisors is an integer number (26658720).

Almost surely, 2^2653865856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2653865856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265395200).

2653865856 is an abundant number, since it is smaller than the sum of its proper divisors (5876924544).

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

2653865856 is a wasteful number, since it uses less digits than its factorization.

2653865856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 418 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The square root of 2653865856 is about 51515.6855336314. The cubic root of 2653865856 is about 1384.5000921438.

The spelling of 2653865856 in words is "two billion, six hundred fifty-three million, eight hundred sixty-five thousand, eight hundred fifty-six".