2587980672 has 256 divisors, whose sum is σ = 7931520000. Its totient is φ = 830269440.

The previous prime is 2587980649. The next prime is 2587980673. The reversal of 2587980672 is 2760897852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587980673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13004829 + ... + 13005027.

It is an arithmetic number, because the mean of its divisors is an integer number (30982500).

Almost surely, 2^2587980672 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 2587980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965760000).

2587980672 is an abundant number, since it is smaller than the sum of its proper divisors (5343539328).

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

2587980672 is a wasteful number, since it uses less digits than its factorization.

2587980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2587980672 is about 50872.1994020310. The cubic root of 2587980672 is about 1372.9466956544.

The spelling of 2587980672 in words is "two billion, five hundred eighty-seven million, nine hundred eighty thousand, six hundred seventy-two".