2126309760 has 192 divisors, whose sum is σ = 7729254000. Its totient is φ = 537145344.

The previous prime is 2126309737. The next prime is 2126309797. The reversal of 2126309760 is 679036212.

2126309760 is a `hidden beast` number, since 2 + 12 + 630 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99726 + ... + 119154.

Almost surely, 2^2126309760 is an apocalyptic number.

2126309760 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 2126309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864627000).

2126309760 is an abundant number, since it is smaller than the sum of its proper divisors (5602944240).

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

2126309760 is a wasteful number, since it uses less digits than its factorization.

2126309760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19473 (or 19458 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2126309760 is about 46111.9264399136. The cubic root of 2126309760 is about 1285.9048792584.

The spelling of 2126309760 in words is "two billion, one hundred twenty-six million, three hundred nine thousand, seven hundred sixty".