2569311072 has 72 divisors (see below), whose sum is σ = 7325869824. Its totient is φ = 854164224.

The previous prime is 2569311061. The next prime is 2569311079. The reversal of 2569311072 is 2701139652.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2569311079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98658 + ... + 121950.

It is an arithmetic number, because the mean of its divisors is an integer number (101748192).

Almost surely, 2^2569311072 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 2569311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662934912).

2569311072 is an abundant number, since it is smaller than the sum of its proper divisors (4756558752).

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

2569311072 is a wasteful number, since it uses less digits than its factorization.

2569311072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23692 (or 23681 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2569311072 is about 50688.3721577247. The cubic root of 2569311072 is about 1369.6372620205.

The spelling of 2569311072 in words is "two billion, five hundred sixty-nine million, three hundred eleven thousand, seventy-two".