2586778240 has 64 divisors (see below), whose sum is σ = 6203207520. Its totient is φ = 1031500800.

The previous prime is 2586778231. The next prime is 2586778253. The reversal of 2586778240 is 428776852.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 205735 + ... + 217945.

Almost surely, 2^2586778240 is an apocalyptic number.

2586778240 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 2586778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101603760).

2586778240 is an abundant number, since it is smaller than the sum of its proper divisors (3616429280).

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

2586778240 is a wasteful number, since it uses less digits than its factorization.

2586778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12561 (or 12549 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The square root of 2586778240 is about 50860.3798648811. The cubic root of 2586778240 is about 1372.7340291016.

The spelling of 2586778240 in words is "two billion, five hundred eighty-six million, seven hundred seventy-eight thousand, two hundred forty".