2553617664 has 180 divisors, whose sum is σ = 8201016516. Its totient is φ = 785645568.

The previous prime is 2553617663. The next prime is 2553617669. The reversal of 2553617664 is 4667163552.

2553617664 is a `hidden beast` number, since 25 + 5 + 3 + 617 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1568160000 + 985457664 = 39600^2 + 31392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553617663) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 264832 + ... + 274304.

Almost surely, 2^2553617664 is an apocalyptic number.

2553617664 is a gapful number since it is divisible by the number (24) 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 2553617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100508258).

2553617664 is an abundant number, since it is smaller than the sum of its proper divisors (5647398852).

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

2553617664 is an equidigital number, since it uses as much as digits as its factorization.

2553617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9491 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 2553617664 is about 50533.3322075638. The cubic root of 2553617664 is about 1366.8429736720.

The spelling of 2553617664 in words is "two billion, five hundred fifty-three million, six hundred seventeen thousand, six hundred sixty-four".