2565289680 has 80 divisors (see below), whose sum is σ = 8208950784. Its totient is φ = 662008320.

The previous prime is 2565289667. The next prime is 2565289687. The reversal of 2565289680 is 869825652.

2565289680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2565289680² = 13161422284629004800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565289687) 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, 164959 + ... + 179838.

Almost surely, 2^2565289680 is an apocalyptic number.

2565289680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565289680 is an abundant number, since it is smaller than the sum of its proper divisors (5643661104).

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

2565289680 is a wasteful number, since it uses less digits than its factorization.

2565289680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344844 (or 344838 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 2565289680 is about 50648.6888280437. The cubic root of 2565289680 is about 1368.9223201241.

The spelling of 2565289680 in words is "two billion, five hundred sixty-five million, two hundred eighty-nine thousand, six hundred eighty".