2553366816 has 576 divisors, whose sum is σ = 10342515456. Its totient is φ = 575078400.

The previous prime is 2553366773. The next prime is 2553366817. The reversal of 2553366816 is 6186633552.

2553366816 is a `hidden beast` number, since 2 + 553 + 36 + 68 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2553366817) 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, 4900636 + ... + 4901156.

It is an arithmetic number, because the mean of its divisors is an integer number (17955756).

Almost surely, 2^2553366816 is an apocalyptic number.

2553366816 is a gapful number since it is divisible by the number (26) 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 2553366816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171257728).

2553366816 is an abundant number, since it is smaller than the sum of its proper divisors (7789148640).

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

2553366816 is a wasteful number, since it uses less digits than its factorization.

2553366816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 2553366816 is about 50530.8501412751. The cubic root of 2553366816 is about 1366.7982161164.

The spelling of 2553366816 in words is "two billion, five hundred fifty-three million, three hundred sixty-six thousand, eight hundred sixteen".