2190115200 has 768 divisors, whose sum is σ = 9349401600. Its totient is φ = 437944320.

The previous prime is 2190115189. The next prime is 2190115201. The reversal of 2190115200 is 25110912.

2190115200 = 466² + 467² + ... + 1882².

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190115201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20092746 + ... + 20092854.

It is an arithmetic number, because the mean of its divisors is an integer number (12173700).

Almost surely, 2^2190115200 is an apocalyptic number.

2190115200 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 2190115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674700800).

2190115200 is an abundant number, since it is smaller than the sum of its proper divisors (7159286400).

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

2190115200 is a wasteful number, since it uses less digits than its factorization.

2190115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 2190115200 is about 46798.6666476728. Note that the first 4 decimals coincide. The cubic root of 2190115200 is about 1298.6406303268.

The spelling of 2190115200 in words is "two billion, one hundred ninety million, one hundred fifteen thousand, two hundred".