2135210400 has 108 divisors (see below), whose sum is σ = 7529311062. Its totient is φ = 569387520.

The previous prime is 2135210381. The next prime is 2135210411. The reversal of 2135210400 is 40125312.

2135210400 is a `hidden beast` number, since 21 + 35 + 210 + 400 = 666.

2135210400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1805570064 + 329640336 = 42492^2 + 18156^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 141079 + ... + 155478.

Almost surely, 2^2135210400 is an apocalyptic number.

2135210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135210400 is an abundant number, since it is smaller than the sum of its proper divisors (5394100662).

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

2135210400 is a wasteful number, since it uses less digits than its factorization.

2135210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296583 (or 296567 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2135210400 is about 46208.3369101291. The cubic root of 2135210400 is about 1287.6966287808.

Adding to 2135210400 its reverse (40125312), we get a palindrome (2175335712).

The spelling of 2135210400 in words is "two billion, one hundred thirty-five million, two hundred ten thousand, four hundred".