2126586816 has 84 divisors (see below), whose sum is σ = 6225247392. Its totient is φ = 693771264.

The previous prime is 2126586793. The next prime is 2126586821. The reversal of 2126586816 is 6186856212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12205 + ... + 66348.

It is an arithmetic number, because the mean of its divisors is an integer number (74110088).

Almost surely, 2^2126586816 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 2126586816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112623696).

2126586816 is an abundant number, since it is smaller than the sum of its proper divisors (4098660576).

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

2126586816 is a wasteful number, since it uses less digits than its factorization.

2126586816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78618 (or 78605 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2126586816 is about 46114.9305106275. The cubic root of 2126586816 is about 1285.9607275322.

The spelling of 2126586816 in words is "two billion, one hundred twenty-six million, five hundred eighty-six thousand, eight hundred sixteen".