2084289901849 has 9 divisors (see below), whose sum is σ = 2158683676383. Its totient is φ = 2012377412472.

The previous prime is 2084289901807. The next prime is 2084289901891. The reversal of 2084289901849 is 9481099824802.

The square root of 2084289901849 is 1443707.

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 (2084289901807) and next prime (2084289901891).

It can be written as a sum of positive squares in only one way, i.e., 1092951066249 + 991338835600 = 1045443^2 + 995660^2 .

It is not a de Polignac number, because 2084289901849 - 2¹¹ = 2084289899801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2084289901349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41842612 + ... + 41892394.

Almost surely, 2^{2084289901849} is an apocalyptic number.

2084289901849 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2084289901849 is the 1443707-th square number.

2084289901849 is the 721854-th centered octagonal number.

It is an amenable number.

2084289901849 is a deficient number, since it is larger than the sum of its proper divisors (74393774534).

2084289901849 is an frugal number, since it uses more digits than its factorization.

2084289901849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99624 (or 49812 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 64.

Multiplying 2084289901849 by its sum of digits (64), we get a square (133394553718336 = 11549656²).

The spelling of 2084289901849 in words is "two trillion, eighty-four billion, two hundred eighty-nine million, nine hundred one thousand, eight hundred forty-nine".