2138117200 has 120 divisors (see below), whose sum is σ = 5572377720. Its totient is φ = 785203200.

The previous prime is 2138117197. The next prime is 2138117209. The reversal of 2138117200 is 27118312.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 310041664 + 1828075536 = 17608^2 + 42756^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138117209) 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, 274966 + ... + 282634.

It is an arithmetic number, because the mean of its divisors is an integer number (46436481).

Almost surely, 2^2138117200 is an apocalyptic number.

2138117200 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 2138117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786188860).

2138117200 is an abundant number, since it is smaller than the sum of its proper divisors (3434260520).

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

2138117200 is a wasteful number, since it uses less digits than its factorization.

2138117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7745 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 2138117200 is about 46239.7794112385. The cubic root of 2138117200 is about 1288.2807053788.

The spelling of 2138117200 in words is "two billion, one hundred thirty-eight million, one hundred seventeen thousand, two hundred".