2135103264 has 216 divisors, whose sum is σ = 7435668240. Its totient is φ = 577850112.

The previous prime is 2135103239. The next prime is 2135103293. The reversal of 2135103264 is 4623015312.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 264147 + ... + 272109.

It is an arithmetic number, because the mean of its divisors is an integer number (34424390).

Almost surely, 2^2135103264 is an apocalyptic number.

2135103264 is a gapful number since it is divisible by the number (24) 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 2135103264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717834120).

2135103264 is an abundant number, since it is smaller than the sum of its proper divisors (5300564976).

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

2135103264 is a wasteful number, since it uses less digits than its factorization.

2135103264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2135103264 is about 46207.1776242609. The cubic root of 2135103264 is about 1287.6750913289.

Adding to 2135103264 its reverse (4623015312), we get a palindrome (6758118576).

The spelling of 2135103264 in words is "two billion, one hundred thirty-five million, one hundred three thousand, two hundred sixty-four".