2113929216 has 156 divisors (see below), whose sum is σ = 6979321752. Its totient is φ = 603979776.

The previous prime is 2113929203. The next prime is 2113929217. The reversal of 2113929216 is 6129293112.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (11664) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113929217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 301989885 + ... + 301989891.

It is an arithmetic number, because the mean of its divisors is an integer number (44739242).

Almost surely, 2^2113929216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113929216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489660876).

2113929216 is an abundant number, since it is smaller than the sum of its proper divisors (4865392536).

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

2113929216 is an frugal number, since it uses more digits than its factorization.

2113929216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 12 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 2113929216 is about 45977.4859686782. The cubic root of 2113929216 is about 1283.4042713509.

The spelling of 2113929216 in words is "two billion, one hundred thirteen million, nine hundred twenty-nine thousand, two hundred sixteen".