2586336480 has 1152 divisors, whose sum is σ = 12204960768. Its totient is φ = 501645312.

The previous prime is 2586336439. The next prime is 2586336503. The reversal of 2586336480 is 846336852.

It is a happy number.

2586336480 is a `hidden beast` number, since 2 + 5 + 8 + 633 + 6 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 60147339 + ... + 60147381.

It is an arithmetic number, because the mean of its divisors is an integer number (10594584).

Almost surely, 2^2586336480 is an apocalyptic number.

2586336480 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 2586336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102480384).

2586336480 is an abundant number, since it is smaller than the sum of its proper divisors (9618624288).

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

2586336480 is a wasteful number, since it uses less digits than its factorization.

2586336480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2586336480 is about 50856.0368098026. The cubic root of 2586336480 is about 1372.6558812471.

The spelling of 2586336480 in words is "two billion, five hundred eighty-six million, three hundred thirty-six thousand, four hundred eighty".