2552585980 has 96 divisors (see below), whose sum is σ = 6315724800. Its totient is φ = 848454912.

The previous prime is 2552585969. The next prime is 2552585983. The reversal of 2552585980 is 895852552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552585983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715441 + ... + 718999.

It is an arithmetic number, because the mean of its divisors is an integer number (65788800).

Almost surely, 2^2552585980 is an apocalyptic number.

2552585980 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 2552585980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157862400).

2552585980 is an abundant number, since it is smaller than the sum of its proper divisors (3763138820).

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

2552585980 is a wasteful number, since it uses less digits than its factorization.

2552585980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 49.

The square root of 2552585980 is about 50523.1232209570. The cubic root of 2552585980 is about 1366.6588766824.

The spelling of 2552585980 in words is "two billion, five hundred fifty-two million, five hundred eighty-five thousand, nine hundred eighty".