2126115200 has 432 divisors, whose sum is σ = 6455381100. Its totient is φ = 689356800.

The previous prime is 2126115179. The next prime is 2126115203. The reversal of 2126115200 is 25116212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126115203) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 111900791 + ... + 111900809.

Almost surely, 2^2126115200 is an apocalyptic number.

2126115200 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 2126115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227690550).

2126115200 is an abundant number, since it is smaller than the sum of its proper divisors (4329265900).

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

2126115200 is a wasteful number, since it uses less digits than its factorization.

2126115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 2126115200 is about 46109.8167422079. The cubic root of 2126115200 is about 1285.8656574276.

The spelling of 2126115200 in words is "two billion, one hundred twenty-six million, one hundred fifteen thousand, two hundred".