2653056000 has 792 divisors, whose sum is σ = 11358000576. Its totient is φ = 593510400.

The previous prime is 2653055983. The next prime is 2653056019. The reversal of 2653056000 is 6503562.

2653056000 is a `hidden beast` number, since 2 + 6 + 53 + 0 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×2653056000² = 14077412278272000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56447977 + ... + 56448023.

Almost surely, 2^2653056000 is an apocalyptic number.

2653056000 is a gapful number since it is divisible by the number (20) 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 2653056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679000288).

2653056000 is an abundant number, since it is smaller than the sum of its proper divisors (8704944576).

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

2653056000 is a wasteful number, since it uses less digits than its factorization.

2653056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2653056000 is about 51507.8246482998. The cubic root of 2653056000 is about 1384.3592460674.

Adding to 2653056000 its reverse (6503562), we get a palindrome (2659559562).

The spelling of 2653056000 in words is "two billion, six hundred fifty-three million, fifty-six thousand".