2081658800 has 120 divisors (see below), whose sum is σ = 5442734976. Its totient is φ = 760504320.

The previous prime is 2081658757. The next prime is 2081658809. The reversal of 2081658800 is 88561802.

It is not an unprimeable number, because it can be changed into a prime (2081658809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502337 + ... + 506463.

Almost surely, 2^2081658800 is an apocalyptic number.

2081658800 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 2081658800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721367488).

2081658800 is an abundant number, since it is smaller than the sum of its proper divisors (3361076176).

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

2081658800 is a wasteful number, since it uses less digits than its factorization.

2081658800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 2081658800 is about 45625.1991776474. The cubic root of 2081658800 is about 1276.8401060835.

The spelling of 2081658800 in words is "two billion, eighty-one million, six hundred fifty-eight thousand, eight hundred".