2011942800 has 360 divisors, whose sum is σ = 8277761856. Its totient is φ = 459717120.

The previous prime is 2011942789. The next prime is 2011942841. The reversal of 2011942800 is 82491102.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 678922 + ... + 681878.

Almost surely, 2^2011942800 is an apocalyptic number.

2011942800 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 2011942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138880928).

2011942800 is an abundant number, since it is smaller than the sum of its proper divisors (6265819056).

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

2011942800 is a wasteful number, since it uses less digits than its factorization.

2011942800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2011942800 is about 44854.6853739941. The cubic root of 2011942800 is about 1262.4239054878.

The spelling of 2011942800 in words is "two billion, eleven million, nine hundred forty-two thousand, eight hundred".