2587918960 has 120 divisors (see below), whose sum is σ = 6681634848. Its totient is φ = 931392000.

The previous prime is 2587918943. The next prime is 2587918987. The reversal of 2587918960 is 698197852.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 976357 + ... + 979003.

Almost surely, 2^2587918960 is an apocalyptic number.

2587918960 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 2587918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340817424).

2587918960 is an abundant number, since it is smaller than the sum of its proper divisors (4093715888).

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

2587918960 is a wasteful number, since it uses less digits than its factorization.

2587918960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 55.

The square root of 2587918960 is about 50871.5928588834. The cubic root of 2587918960 is about 1372.9357826465.

The spelling of 2587918960 in words is "two billion, five hundred eighty-seven million, nine hundred eighteen thousand, nine hundred sixty".