2190408880009 has 27 divisors (see below), whose sum is σ = 2706944931093. Its totient is φ = 1766910461568.

The previous prime is 2190408880003. The next prime is 2190408880013. The reversal of 2190408880009 is 9000888040912.

The square root of 2190408880009 is 1480003.

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

It can be written as a sum of positive squares in 4 ways, for example, as 190616940409 + 1999791939600 = 436597^2 + 1414140^2 .

It is not a de Polignac number, because 2190408880009 - 2²¹ = 2190406782857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2190408880003) 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, 176114139 + ... + 176126575.

Almost surely, 2^{2190408880009} is an apocalyptic number.

2190408880009 is the 1480003-rd square number.

2190408880009 is the 740002-nd centered octagonal number.

It is an amenable number.

2190408880009 is a deficient number, since it is larger than the sum of its proper divisors (516536051084).

2190408880009 is an frugal number, since it uses more digits than its factorization.

2190408880009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24922 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

Multiplying 2190408880009 by its sum of digits (49), we get a square (107330035120441 = 10360021²).

2190408880009 divided by its sum of digits (49) gives a square (44702222041 = 211429²).

The spelling of 2190408880009 in words is "two trillion, one hundred ninety billion, four hundred eight million, eight hundred eighty thousand, nine".