2034668160 has 672 divisors, whose sum is σ = 8578847700. Its totient is φ = 459841536.

The previous prime is 2034668149. The next prime is 2034668177. The reversal of 2034668160 is 618664302.

It can be written as a sum of positive squares in 2 ways, for example, as 1922647104 + 112021056 = 43848^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22861396 + ... + 22861484.

Almost surely, 2^2034668160 is an apocalyptic number.

2034668160 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 2034668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289423850).

2034668160 is an abundant number, since it is smaller than the sum of its proper divisors (6544179540).

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

2034668160 is an frugal number, since it uses more digits than its factorization.

2034668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2034668160 is about 45107.2960838931. The cubic root of 2034668160 is about 1267.1592445570.

The spelling of 2034668160 in words is "two billion, thirty-four million, six hundred sixty-eight thousand, one hundred sixty".