2122741800 has 144 divisors (see below), whose sum is σ = 7321776540. Its totient is φ = 550748160.

The previous prime is 2122741799. The next prime is 2122741811. The reversal of 2122741800 is 81472212.

2122741800 is a `hidden beast` number, since 21 + 227 + 418 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 927933444 + 1194808356 = 30462^2 + 34566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50664 + ... + 82536.

Almost surely, 2^2122741800 is an apocalyptic number.

2122741800 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 2122741800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660888270).

2122741800 is an abundant number, since it is smaller than the sum of its proper divisors (5199034740).

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

2122741800 is a wasteful number, since it uses less digits than its factorization.

2122741800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31932 (or 31920 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2122741800 is about 46073.2221577784. Note that the first 3 decimals coincide. The cubic root of 2122741800 is about 1285.1852246535.

The spelling of 2122741800 in words is "two billion, one hundred twenty-two million, seven hundred forty-one thousand, eight hundred".