2032313040 has 240 divisors, whose sum is σ = 7124008320. Its totient is φ = 518568960.

The previous prime is 2032313029. The next prime is 2032313047. The reversal of 2032313040 is 403132302.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032313047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2734909 + ... + 2735651.

It is an arithmetic number, because the mean of its divisors is an integer number (29683368).

Almost surely, 2^2032313040 is an apocalyptic number.

2032313040 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 2032313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562004160).

2032313040 is an abundant number, since it is smaller than the sum of its proper divisors (5091695280).

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

2032313040 is a wasteful number, since it uses less digits than its factorization.

2032313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 913 counting only the distinct ones).

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

The square root of 2032313040 is about 45081.1827706417. The cubic root of 2032313040 is about 1266.6701452659.

Adding to 2032313040 its reverse (403132302), we get a palindrome (2435445342).

The spelling of 2032313040 in words is "two billion, thirty-two million, three hundred thirteen thousand, forty".