2140912900 has 81 divisors (see below), whose sum is σ = 5412464127. Its totient is φ = 732916800.

The previous prime is 2140912897. The next prime is 2140912903. The reversal of 2140912900 is 92190412.

It is a happy number.

The square root of 2140912900 is 46270.

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

It is an interprime number because it is at equal distance from previous prime (2140912897) and next prime (2140912903).

It can be written as a sum of positive squares in 4 ways, for example, as 63011844 + 2077901056 = 7938^2 + 45584^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2140912903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3238570 + ... + 3239230.

Almost surely, 2^2140912900 is an apocalyptic number.

2140912900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2140912900 is the 46270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140912900

2140912900 is an abundant number, since it is smaller than the sum of its proper divisors (3271551227).

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

2140912900 is an equidigital number, since it uses as much as digits as its factorization.

2140912900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The cubic root of 2140912900 is about 1288.8419589477.

Multiplying 2140912900 by its product of nonzero digits (1296), we get a square (2774623118400 = 1665720²).

The spelling of 2140912900 in words is "two billion, one hundred forty million, nine hundred twelve thousand, nine hundred".