2126924800 has 528 divisors, whose sum is σ = 7164041472. Its totient is φ = 604569600.

The previous prime is 2126924783. The next prime is 2126924837. The reversal of 2126924800 is 84296212.

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 47 ways as a sum of consecutive naturals, for example, 25625559 + ... + 25625641.

Almost surely, 2^2126924800 is an apocalyptic number.

2126924800 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 2126924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582020736).

2126924800 is an abundant number, since it is smaller than the sum of its proper divisors (5037116672).

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

2126924800 is a wasteful number, since it uses less digits than its factorization.

2126924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2126924800 is about 46118.5949482419. The cubic root of 2126924800 is about 1286.0288509564.

The spelling of 2126924800 in words is "two billion, one hundred twenty-six million, nine hundred twenty-four thousand, eight hundred".