2569345464 has 64 divisors (see below), whose sum is σ = 7413719040. Its totient is φ = 726825600.

The previous prime is 2569345411. The next prime is 2569345469. The reversal of 2569345464 is 4645439652.

It is a super-2 number, since 2×2569345464² = 13203072226754750592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2569345469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58744 + ... + 92679.

It is an arithmetic number, because the mean of its divisors is an integer number (115839360).

Almost surely, 2^2569345464 is an apocalyptic number.

2569345464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2569345464 is an abundant number, since it is smaller than the sum of its proper divisors (4844373576).

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

2569345464 is a wasteful number, since it uses less digits than its factorization.

2569345464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151540 (or 151536 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The square root of 2569345464 is about 50688.7114059926. The cubic root of 2569345464 is about 1369.6433731729.

The spelling of 2569345464 in words is "two billion, five hundred sixty-nine million, three hundred forty-five thousand, four hundred sixty-four".