2126868960 has 96 divisors (see below), whose sum is σ = 6762413952. Its totient is φ = 561850880.

The previous prime is 2126868893. The next prime is 2126868979. The reversal of 2126868960 is 698686212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2126868960² = 9047143146022963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 30655 + ... + 72065.

It is an arithmetic number, because the mean of its divisors is an integer number (70441812).

Almost surely, 2^2126868960 is an apocalyptic number.

2126868960 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 2126868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381206976).

2126868960 is an abundant number, since it is smaller than the sum of its proper divisors (4635544992).

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

2126868960 is a wasteful number, since it uses less digits than its factorization.

2126868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41536 (or 41528 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2126868960 is about 46117.9895485482. The cubic root of 2126868960 is about 1286.0175964479.

The spelling of 2126868960 in words is "two billion, one hundred twenty-six million, eight hundred sixty-eight thousand, nine hundred sixty".