2040031872 has 128 divisors (see below), whose sum is σ = 6045499200. Its totient is φ = 677237760.

The previous prime is 2040031871. The next prime is 2040031907. The reversal of 2040031872 is 2781300402.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (2040031871) 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 15 ways as a sum of consecutive naturals, for example, 956247 + ... + 958377.

Almost surely, 2^2040031872 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 2040031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022749600).

2040031872 is an abundant number, since it is smaller than the sum of its proper divisors (4005467328).

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

2040031872 is a wasteful number, since it uses less digits than its factorization.

2040031872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2040031872 is about 45166.7119901372. The cubic root of 2040031872 is about 1268.2717459685.

The spelling of 2040031872 in words is "two billion, forty million, thirty-one thousand, eight hundred seventy-two".