2569485840 has 160 divisors (see below), whose sum is σ = 8506598400. Its totient is φ = 640174080.

The previous prime is 2569485839. The next prime is 2569485883. The reversal of 2569485840 is 485849652.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209806 + ... + 221714.

It is an arithmetic number, because the mean of its divisors is an integer number (53166240).

Almost surely, 2^2569485840 is an apocalyptic number.

2569485840 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 2569485840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253299200).

2569485840 is an abundant number, since it is smaller than the sum of its proper divisors (5937112560).

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

2569485840 is a wasteful number, since it uses less digits than its factorization.

2569485840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11985 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The square root of 2569485840 is about 50690.0960740853. The cubic root of 2569485840 is about 1369.6683161735.

The spelling of 2569485840 in words is "two billion, five hundred sixty-nine million, four hundred eighty-five thousand, eight hundred forty".