2137201000 has 128 divisors (see below), whose sum is σ = 5514687360. Its totient is φ = 768768000.

The previous prime is 2137200953. The next prime is 2137201021. The reversal of 2137201000 is 1027312.

It is a happy number.

It is a super-2 number, since 2×2137201000² = 9135256228802000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065999 + ... + 1068001.

It is an arithmetic number, because the mean of its divisors is an integer number (43083495).

Almost surely, 2^2137201000 is an apocalyptic number.

2137201000 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 2137201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757343680).

2137201000 is an abundant number, since it is smaller than the sum of its proper divisors (3377486360).

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

2137201000 is a wasteful number, since it uses less digits than its factorization.

2137201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 2137201000 is about 46229.8712955163. The cubic root of 2137201000 is about 1288.0966662914.

Adding to 2137201000 its reverse (1027312), we get a palindrome (2138228312).

The spelling of 2137201000 in words is "two billion, one hundred thirty-seven million, two hundred one thousand".