2190903228900 has 81 divisors (see below), whose sum is σ = 6867403642281. Its totient is φ = 584229019680.

The previous prime is 2190903228893. The next prime is 2190903228901. The reversal of 2190903228900 is 98223090912.

It is a happy number.

The square root of 2190903228900 is 1480170.

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., 788725162404 + 1402178066496 = 888102^2 + 1184136^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2190903228901) 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, 44380431 + ... + 44429769.

Almost surely, 2^{2190903228900} is an apocalyptic number.

2190903228900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2190903228900 is the 1480170-th square number.

It is an amenable number.

2190903228900 is an abundant number, since it is smaller than the sum of its proper divisors (4676500413381).

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

2190903228900 is an frugal number, since it uses more digits than its factorization.

2190903228900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98698 (or 49349 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 2190903228900 in words is "two trillion, one hundred ninety billion, nine hundred three million, two hundred twenty-eight thousand, nine hundred".