2552786880 has 224 divisors, whose sum is σ = 9514246656. Its totient is φ = 567668736.

The previous prime is 2552786879. The next prime is 2552786881. The reversal of 2552786880 is 886872552.

It is an interprime number because it is at equal distance from previous prime (2552786879) and next prime (2552786881).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552786881) 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 31 ways as a sum of consecutive naturals, for example, 243507 + ... + 253773.

Almost surely, 2^2552786880 is an apocalyptic number.

2552786880 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 2552786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757123328).

2552786880 is an abundant number, since it is smaller than the sum of its proper divisors (6961459776).

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

2552786880 is a wasteful number, since it uses less digits than its factorization.

2552786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10321 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The square root of 2552786880 is about 50525.1113803819. Note that the first 3 decimals coincide. The cubic root of 2552786880 is about 1366.6947298091.

The spelling of 2552786880 in words is "two billion, five hundred fifty-two million, seven hundred eighty-six thousand, eight hundred eighty".