2180142864 has 75 divisors (see below), whose sum is σ = 6314834757. Its totient is φ = 726153984.

The previous prime is 2180142847. The next prime is 2180142911. The reversal of 2180142864 is 4682410812.

The square root of 2180142864 is 46692.

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., 2173424400 + 6718464 = 46620^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1680264 + ... + 1681560.

Almost surely, 2^2180142864 is an apocalyptic number.

2180142864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2180142864 is the 46692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180142864

2180142864 is an abundant number, since it is smaller than the sum of its proper divisors (4134691893).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2180142864 is an frugal number, since it uses more digits than its factorization.

2180142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The cubic root of 2180142864 is about 1296.6665809622. Note that the first 3 decimals are identical.

Multiplying 2180142864 by its sum of digits (36), we get a square (78485143104 = 280152²).

2180142864 divided by its sum of digits (36) gives a square (60559524 = 7782²).

The spelling of 2180142864 in words is "two billion, one hundred eighty million, one hundred forty-two thousand, eight hundred sixty-four".