2180983401 has 15 divisors (see below), whose sum is σ = 3258640231. Its totient is φ = 1453708728.

The previous prime is 2180983391. The next prime is 2180983403. The reversal of 2180983401 is 1043890812.

The square root of 2180983401 is 46701.

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., 1722167001 + 458816400 = 41499^2 + 21420^2 .

It is not a de Polignac number, because 2180983401 - 2⁵ = 2180983369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2180983403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 417715 + ... + 422903.

Almost surely, 2^2180983401 is an apocalyptic number.

2180983401 is the 46701-st square number.

2180983401 is the 23351-st centered octagonal number.

It is an amenable number.

2180983401 is a deficient number, since it is larger than the sum of its proper divisors (1077656830).

2180983401 is an frugal number, since it uses more digits than its factorization.

2180983401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The cubic root of 2180983401 is about 1296.8331994315.

Multiplying 2180983401 by its sum of digits (36), we get a square (78515402436 = 280206²).

The spelling of 2180983401 in words is "two billion, one hundred eighty million, nine hundred eighty-three thousand, four hundred one".