2586988320 has 384 divisors, whose sum is σ = 10015488000. Its totient is φ = 559512576.

The previous prime is 2586988291. The next prime is 2586988337. The reversal of 2586988320 is 238896852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3127747 + ... + 3128573.

It is an arithmetic number, because the mean of its divisors is an integer number (26082000).

Almost surely, 2^2586988320 is an apocalyptic number.

2586988320 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 2586988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007744000).

2586988320 is an abundant number, since it is smaller than the sum of its proper divisors (7428499680).

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

2586988320 is a wasteful number, since it uses less digits than its factorization.

2586988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 2586988320 is about 50862.4450847578. The cubic root of 2586988320 is about 1372.7711893748.

The spelling of 2586988320 in words is "two billion, five hundred eighty-six million, nine hundred eighty-eight thousand, three hundred twenty".