2588772816 has 120 divisors (see below), whose sum is σ = 8296177344. Its totient is φ = 738201600.

The previous prime is 2588772811. The next prime is 2588772847. The reversal of 2588772816 is 6182778852.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588772811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579391 + ... + 583841.

Almost surely, 2^2588772816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2588772816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148088672).

2588772816 is an abundant number, since it is smaller than the sum of its proper divisors (5707404528).

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

2588772816 is a wasteful number, since it uses less digits than its factorization.

2588772816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5040 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 2588772816 is about 50879.9844339599. The cubic root of 2588772816 is about 1373.0867611701.

It can be divided in two parts, 25887728 and 16, that added together give a square (25887744 = 5088²).

The spelling of 2588772816 in words is "two billion, five hundred eighty-eight million, seven hundred seventy-two thousand, eight hundred sixteen".