2118976000 has 160 divisors (see below), whose sum is σ = 5348751408. Its totient is φ = 837222400.

The previous prime is 2118975919. The next prime is 2118976001. The reversal of 2118976000 is 6798112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35236096 + 2083739904 = 5936^2 + 45648^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2118976001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7231854 + ... + 7232146.

Almost surely, 2^2118976000 is an apocalyptic number.

2118976000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2118976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674375704).

2118976000 is an abundant number, since it is smaller than the sum of its proper divisors (3229775408).

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

2118976000 is an equidigital number, since it uses as much as digits as its factorization.

2118976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 2118976000 is about 46032.3364603623. The cubic root of 2118976000 is about 1284.4247906257.

The spelling of 2118976000 in words is "two billion, one hundred eighteen million, nine hundred seventy-six thousand".