2090409841 has 9 divisors (see below), whose sum is σ = 2264223681. Its totient is φ = 1929060432.

The previous prime is 2090409833. The next prime is 2090409847. The reversal of 2090409841 is 1489040902.

It is a happy number.

The square root of 2090409841 is 45721.

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 76195441 + 2014214400 = 8729^2 + 44880^2 .

It is not a de Polignac number, because 2090409841 - 2³ = 2090409833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2090409841.

It is not an unprimeable number, because it can be changed into a prime (2090409847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 592615 + ... + 596131.

It is an arithmetic number, because the mean of its divisors is an integer number (251580409).

Almost surely, 2^2090409841 is an apocalyptic number.

2090409841 is the 45721-st square number.

2090409841 is the 22861-st centered octagonal number.

It is an amenable number.

2090409841 is a deficient number, since it is larger than the sum of its proper divisors (173813840).

2090409841 is an frugal number, since it uses more digits than its factorization.

2090409841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7060 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The cubic root of 2090409841 is about 1278.6268316485.

Multiplying 2090409841 by its product of nonzero digits (20736), we get a square (43346738462976 = 6583824²).

The spelling of 2090409841 in words is "two billion, ninety million, four hundred nine thousand, eight hundred forty-one".