2039113440 has 1080 divisors, whose sum is σ = 9541861560. Its totient is φ = 407586816.

The previous prime is 2039113423. The next prime is 2039113441. The reversal of 2039113440 is 443119302.

2039113440 is a `hidden beast` number, since 203 + 9 + 1 + 13 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039113441) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 107321751 + ... + 107321769.

It is an arithmetic number, because the mean of its divisors is an integer number (8835057).

Almost surely, 2^2039113440 is an apocalyptic number.

2039113440 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 2039113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770930780).

2039113440 is an abundant number, since it is smaller than the sum of its proper divisors (7502748120).

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

2039113440 is a wasteful number, since it uses less digits than its factorization.

2039113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2039113440 is about 45156.5437118476. The cubic root of 2039113440 is about 1268.0813900859.

The spelling of 2039113440 in words is "two billion, thirty-nine million, one hundred thirteen thousand, four hundred forty".