2552788000 has 384 divisors, whose sum is σ = 7880011776. Its totient is φ = 792576000.

The previous prime is 2552787989. The next prime is 2552788001. The reversal of 2552788000 is 8872552.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2552788001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14755914 + ... + 14756086.

It is an arithmetic number, because the mean of its divisors is an integer number (20520864).

Almost surely, 2^2552788000 is an apocalyptic number.

2552788000 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 2552788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940005888).

2552788000 is an abundant number, since it is smaller than the sum of its proper divisors (5327223776).

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

2552788000 is a wasteful number, since it uses less digits than its factorization.

2552788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 2552788000 is about 50525.1224639783. The cubic root of 2552788000 is about 1366.6949296819.

The spelling of 2552788000 in words is "two billion, five hundred fifty-two million, seven hundred eighty-eight thousand".