2013340032 has 96 divisors (see below), whose sum is σ = 6320325960. Its totient is φ = 610099200.

The previous prime is 2013340009. The next prime is 2013340033. The reversal of 2013340032 is 2300433102.

2013340032 is a `hidden beast` number, since 201 + 33 + 400 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2013340032² = 8107076168907522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2013339987 and 2013340014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013340033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66769 + ... + 92112.

Almost surely, 2^2013340032 is an apocalyptic number.

2013340032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2013340032 is an abundant number, since it is smaller than the sum of its proper divisors (4306985928).

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

2013340032 is a wasteful number, since it uses less digits than its factorization.

2013340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158912 (or 158897 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2013340032 is about 44870.2577661417. The cubic root of 2013340032 is about 1262.7160759729.

Adding to 2013340032 its reverse (2300433102), we get a palindrome (4313773134).

The spelling of 2013340032 in words is "two billion, thirteen million, three hundred forty thousand, thirty-two".