2567090560 has 64 divisors (see below), whose sum is σ = 6143623200. Its totient is φ = 1025720320.

The previous prime is 2567090549. The next prime is 2567090579. The reversal of 2567090560 is 650907652.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2567090560² = 13179907886482227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842640 + ... + 845680.

Almost surely, 2^2567090560 is an apocalyptic number.

2567090560 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 2567090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071811600).

2567090560 is an abundant number, since it is smaller than the sum of its proper divisors (3576532640).

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

2567090560 is a wasteful number, since it uses less digits than its factorization.

2567090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 2567090560 is about 50666.4638592432. The cubic root of 2567090560 is about 1369.2425813126.

The spelling of 2567090560 in words is "two billion, five hundred sixty-seven million, ninety thousand, five hundred sixty".