2129413660 has 96 divisors (see below), whose sum is σ = 4958392320. Its totient is φ = 768088640.

The previous prime is 2129413613. The next prime is 2129413667. The reversal of 2129413660 is 663149212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129413667) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4445301 + ... + 4445779.

It is an arithmetic number, because the mean of its divisors is an integer number (51649920).

Almost surely, 2^2129413660 is an apocalyptic number.

2129413660 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 2129413660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479196160).

2129413660 is an abundant number, since it is smaller than the sum of its proper divisors (2828978660).

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

2129413660 is a wasteful number, since it uses less digits than its factorization.

2129413660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 2129413660 is about 46145.5703182873. The cubic root of 2129413660 is about 1286.5302788248.

The spelling of 2129413660 in words is "two billion, one hundred twenty-nine million, four hundred thirteen thousand, six hundred sixty".