2586608640 has 792 divisors, whose sum is σ = 11603247552. Its totient is φ = 537477120.

The previous prime is 2586608611. The next prime is 2586608641. The reversal of 2586608640 is 468066852.

2586608640 is a `hidden beast` number, since 2 + 586 + 6 + 0 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2586608641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235146235 + ... + 235146245.

Almost surely, 2^2586608640 is an apocalyptic number.

2586608640 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 2586608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801623776).

2586608640 is an abundant number, since it is smaller than the sum of its proper divisors (9016638912).

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

2586608640 is an frugal number, since it uses more digits than its factorization.

2586608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2586608640 is about 50858.7125279435. The cubic root of 2586608640 is about 1372.7040277179.

The spelling of 2586608640 in words is "two billion, five hundred eighty-six million, six hundred eight thousand, six hundred forty".