2587690560 has 448 divisors, whose sum is σ = 10650931200. Its totient is φ = 516907008.

The previous prime is 2587690543. The next prime is 2587690597. The reversal of 2587690560 is 650967852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2587690560² = 13392284868626227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659061 + ... + 1660619.

It is an arithmetic number, because the mean of its divisors is an integer number (23774400).

Almost surely, 2^2587690560 is an apocalyptic number.

2587690560 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 2587690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325465600).

2587690560 is an abundant number, since it is smaller than the sum of its proper divisors (8063240640).

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

2587690560 is a wasteful number, since it uses less digits than its factorization.

2587690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 2587690560 is about 50869.3479415650. The cubic root of 2587690560 is about 1372.8953914077.

The spelling of 2587690560 in words is "two billion, five hundred eighty-seven million, six hundred ninety thousand, five hundred sixty".