2124861800 has 48 divisors (see below), whose sum is σ = 5021321100. Its totient is φ = 836006400.

The previous prime is 2124861769. The next prime is 2124861803. The reversal of 2124861800 is 81684212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 657512164 + 1467349636 = 25642^2 + 38306^2 .

It is not an unprimeable number, because it can be changed into a prime (2124861803) 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 11 ways as a sum of consecutive naturals, for example, 74885 + ... + 99284.

Almost surely, 2^2124861800 is an apocalyptic number.

2124861800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124861800 is an abundant number, since it is smaller than the sum of its proper divisors (2896459300).

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

2124861800 is a wasteful number, since it uses less digits than its factorization.

2124861800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174246 (or 174237 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 2124861800 is about 46096.2232726283. The cubic root of 2124861800 is about 1285.6129240492.

The spelling of 2124861800 in words is "two billion, one hundred twenty-four million, eight hundred sixty-one thousand, eight hundred".