2114038800 has 360 divisors, whose sum is σ = 7979528960. Its totient is φ = 516326400.

The previous prime is 2114038747. The next prime is 2114038837. The reversal of 2114038800 is 88304112.

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

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, 2119902 + ... + 2120898.

Almost surely, 2^2114038800 is an apocalyptic number.

2114038800 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 2114038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989764480).

2114038800 is an abundant number, since it is smaller than the sum of its proper divisors (5865490160).

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

2114038800 is a wasteful number, since it uses less digits than its factorization.

2114038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2114038800 is about 45978.6776669360. The cubic root of 2114038800 is about 1283.4264477705.

The spelling of 2114038800 in words is "two billion, one hundred fourteen million, thirty-eight thousand, eight hundred".