2126358800 has 30 divisors (see below), whose sum is σ = 5108577978. Its totient is φ = 850543360.

The previous prime is 2126358791. The next prime is 2126358821. The reversal of 2126358800 is 88536212.

It can be written as a sum of positive squares in 3 ways, for example, as 215619856 + 1910738944 = 14684^2 + 43712^2 .

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 5 ways as a sum of consecutive naturals, for example, 2657549 + ... + 2658348.

Almost surely, 2^2126358800 is an apocalyptic number.

2126358800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126358800 is an abundant number, since it is smaller than the sum of its proper divisors (2982219178).

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

2126358800 is a wasteful number, since it uses less digits than its factorization.

2126358800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315915 (or 5315904 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2126358800 is about 46112.4581864814. The cubic root of 2126358800 is about 1285.9147649755.

The spelling of 2126358800 in words is "two billion, one hundred twenty-six million, three hundred fifty-eight thousand, eight hundred".