2302132100 has 72 divisors (see below), whose sum is σ = 5223415680. Its totient is φ = 879028480.

The previous prime is 2302132081. The next prime is 2302132139. The reversal of 2302132100 is 12312032.

It is a happy number.

2302132100 is nontrivially palindromic in base 9.

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 23 ways as a sum of consecutive naturals, for example, 1929104 + ... + 1930296.

It is an arithmetic number, because the mean of its divisors is an integer number (72547440).

Almost surely, 2^2302132100 is an apocalyptic number.

2302132100 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 2302132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611707840).

2302132100 is an abundant number, since it is smaller than the sum of its proper divisors (2921283580).

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

2302132100 is a wasteful number, since it uses less digits than its factorization.

2302132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2302132100 is about 47980.5387631277. The cubic root of 2302132100 is about 1320.4138777169.

Adding to 2302132100 its reverse (12312032), we get a palindrome (2314444132).

The spelling of 2302132100 in words is "two billion, three hundred two million, one hundred thirty-two thousand, one hundred".