2126197800 has 144 divisors (see below), whose sum is σ = 7181460000. Its totient is φ = 563733120.

The previous prime is 2126197783. The next prime is 2126197811. The reversal of 2126197800 is 87916212.

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

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 35 ways as a sum of consecutive naturals, for example, 318901 + ... + 325499.

It is an arithmetic number, because the mean of its divisors is an integer number (49871250).

Almost surely, 2^2126197800 is an apocalyptic number.

2126197800 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 2126197800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590730000).

2126197800 is an abundant number, since it is smaller than the sum of its proper divisors (5055262200).

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

2126197800 is a wasteful number, since it uses less digits than its factorization.

2126197800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2126197800 is about 46110.7124213018. The cubic root of 2126197800 is about 1285.8823092578.

The spelling of 2126197800 in words is "two billion, one hundred twenty-six million, one hundred ninety-seven thousand, eight hundred".