2011765800 has 96 divisors (see below), whose sum is σ = 6803448480. Its totient is φ = 487699200.

The previous prime is 2011765799. The next prime is 2011765807. The reversal of 2011765800 is 85671102.

2011765800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2011765807) 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, 145807 + ... + 159006.

It is an arithmetic number, because the mean of its divisors is an integer number (70869255).

Almost surely, 2^2011765800 is an apocalyptic number.

2011765800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011765800 is an abundant number, since it is smaller than the sum of its proper divisors (4791682680).

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

2011765800 is a wasteful number, since it uses less digits than its factorization.

2011765800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304843 (or 304834 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 2011765800 is about 44852.7122925693. The cubic root of 2011765800 is about 1262.3868839608.

The spelling of 2011765800 in words is "two billion, eleven million, seven hundred sixty-five thousand, eight hundred".