2587941664 has 288 divisors, whose sum is σ = 6980904000. Its totient is φ = 930908160.

The previous prime is 2587941649. The next prime is 2587941673. The reversal of 2587941664 is 4661497852.

Its product of digits (2903040) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17368662 + ... + 17368810.

It is an arithmetic number, because the mean of its divisors is an integer number (24239250).

Almost surely, 2^2587941664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2587941664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490452000).

2587941664 is an abundant number, since it is smaller than the sum of its proper divisors (4392962336).

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

2587941664 is a wasteful number, since it uses less digits than its factorization.

2587941664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The square root of 2587941664 is about 50871.8160084737. The cubic root of 2587941664 is about 1372.9397975897.

The spelling of 2587941664 in words is "two billion, five hundred eighty-seven million, nine hundred forty-one thousand, six hundred sixty-four".