2588778852 has 192 divisors, whose sum is σ = 7040888064. Its totient is φ = 733224960.

The previous prime is 2588778851. The next prime is 2588778893.

2588778852 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2588778851) 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, 18896128 + ... + 18896264.

It is an arithmetic number, because the mean of its divisors is an integer number (36671292).

Almost surely, 2^2588778852 is an apocalyptic number.

2588778852 is a gapful number since it is divisible by the number (22) 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 2588778852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520444032).

2588778852 is an abundant number, since it is smaller than the sum of its proper divisors (4452109212).

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

2588778852 is a wasteful number, since it uses less digits than its factorization.

2588778852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 316 counting only the distinct ones).

The product of its digits is 20070400, while the sum is 60.

The square root of 2588778852 is about 50880.0437499812. The cubic root of 2588778852 is about 1373.0878283354.

The spelling of 2588778852 in words is "two billion, five hundred eighty-eight million, seven hundred seventy-eight thousand, eight hundred fifty-two".