2124288100 has 81 divisors (see below), whose sum is σ = 5078987641. Its totient is φ = 770624800.

The previous prime is 2124288079. The next prime is 2124288109. The reversal of 2124288100 is 18824212.

The square root of 2124288100 is 46090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 764743716 + 1359544384 = 27654^2 + 36872^2 .

It is a super-2 number, since 2×2124288100² = 9025199863603220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2124288109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5069691 + ... + 5070109.

Almost surely, 2^2124288100 is an apocalyptic number.

2124288100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2124288100 is the 46090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124288100

2124288100 is an abundant number, since it is smaller than the sum of its proper divisors (2954699541).

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

2124288100 is a wasteful number, since it uses less digits than its factorization.

2124288100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The cubic root of 2124288100 is about 1285.4972110299.

The spelling of 2124288100 in words is "two billion, one hundred twenty-four million, two hundred eighty-eight thousand, one hundred".