2135071200 has 144 divisors (see below), whose sum is σ = 6982053120. Its totient is φ = 566699520.

The previous prime is 2135071193. The next prime is 2135071247. The reversal of 2135071200 is 21705312.

2135071200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542841 + ... + 546759.

It is an arithmetic number, because the mean of its divisors is an integer number (48486480).

Almost surely, 2^2135071200 is an apocalyptic number.

2135071200 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 2135071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491026560).

2135071200 is an abundant number, since it is smaller than the sum of its proper divisors (4846981920).

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

2135071200 is a wasteful number, since it uses less digits than its factorization.

2135071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2135071200 is about 46206.8306638748. The cubic root of 2135071200 is about 1287.6686453923.

Adding to 2135071200 its reverse (21705312), we get a palindrome (2156776512).

The spelling of 2135071200 in words is "two billion, one hundred thirty-five million, seventy-one thousand, two hundred".