2135400345 has 144 divisors (see below), whose sum is σ = 4316457600. Its totient is φ = 972601344.

The previous prime is 2135400341. The next prime is 2135400403. The reversal of 2135400345 is 5430045312.

2135400345 is a `hidden beast` number, since 213 + 5 + 400 + 3 + 45 = 666.

It is not a de Polignac number, because 2135400345 - 2² = 2135400341 is a prime.

It is a super-4 number, since 4×2135400345⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2135400341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10730556 + ... + 10730754.

It is an arithmetic number, because the mean of its divisors is an integer number (29975400).

Almost surely, 2^2135400345 is an apocalyptic number.

It is an amenable number.

2135400345 is an abundant number, since it is smaller than the sum of its proper divisors (2181057255).

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

2135400345 is a wasteful number, since it uses less digits than its factorization.

2135400345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2135400345 is about 46210.3921753538. The cubic root of 2135400345 is about 1287.7348114791.

Adding to 2135400345 its reverse (5430045312), we get a palindrome (7565445657).

The spelling of 2135400345 in words is "two billion, one hundred thirty-five million, four hundred thousand, three hundred forty-five".