2113004032 has 80 divisors (see below), whose sum is σ = 4413835800. Its totient is φ = 1009254400.

The previous prime is 2113004017. The next prime is 2113004039. The reversal of 2113004032 is 2304003112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1755945216 + 357058816 = 41904^2 + 18896^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2113003997 and 2113004015.

It is not an unprimeable number, because it can be changed into a prime (2113004039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1498944 + ... + 1500352.

Almost surely, 2^2113004032 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 2113004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206917900).

2113004032 is an abundant number, since it is smaller than the sum of its proper divisors (2300831768).

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

2113004032 is a wasteful number, since it uses less digits than its factorization.

2113004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2113004032 is about 45967.4235954116. The cubic root of 2113004032 is about 1283.2170121065.

Adding to 2113004032 its reverse (2304003112), we get a palindrome (4417007144).

The spelling of 2113004032 in words is "two billion, one hundred thirteen million, four thousand, thirty-two".