2084359200361 has 9 divisors (see below), whose sum is σ = 2087915388951. Its totient is φ = 2080809065832.

The previous prime is 2084359200283. The next prime is 2084359200367. The reversal of 2084359200361 is 1630029534802.

The square root of 2084359200361 is 1443731.

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., 1819706571225 + 264652629136 = 1348965^2 + 514444^2 .

It is not a de Polignac number, because 2084359200361 - 2¹⁹ = 2084358676073 is a prime.

It is a super-2 number, since 2×2084359200361² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2084359200367) 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, 1396087131 + ... + 1396088623.

Almost surely, 2^{2084359200361} is an apocalyptic number.

2084359200361 is the 1443731-st square number.

2084359200361 is the 721866-th centered octagonal number.

It is an amenable number.

2084359200361 is a deficient number, since it is larger than the sum of its proper divisors (3556188590).

2084359200361 is an frugal number, since it uses more digits than its factorization.

2084359200361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 2084359200361 in words is "two trillion, eighty-four billion, three hundred fifty-nine million, two hundred thousand, three hundred sixty-one".