2552806800 has 480 divisors, whose sum is σ = 9742233600. Its totient is φ = 633346560.

The previous prime is 2552806799. The next prime is 2552806801. The reversal of 2552806800 is 86082552.

It is an interprime number because it is at equal distance from previous prime (2552806799) and next prime (2552806801).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552806801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10681081 + ... + 10681319.

It is an arithmetic number, because the mean of its divisors is an integer number (20296320).

Almost surely, 2^2552806800 is an apocalyptic number.

2552806800 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 2552806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871116800).

2552806800 is an abundant number, since it is smaller than the sum of its proper divisors (7189426800).

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

2552806800 is a wasteful number, since it uses less digits than its factorization.

2552806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2552806800 is about 50525.3085096964. The cubic root of 2552806800 is about 1366.6982846806.

The spelling of 2552806800 in words is "two billion, five hundred fifty-two million, eight hundred six thousand, eight hundred".