2040142784 has 56 divisors (see below), whose sum is σ = 4284055440. Its totient is φ = 961265664.

The previous prime is 2040142781. The next prime is 2040142823. The reversal of 2040142784 is 4872410402.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2040142784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040142781) 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, 230342 + ... + 239034.

It is an arithmetic number, because the mean of its divisors is an integer number (76500990).

Almost surely, 2^2040142784 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 2040142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142027720).

2040142784 is an abundant number, since it is smaller than the sum of its proper divisors (2243912656).

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

2040142784 is a wasteful number, since it uses less digits than its factorization.

2040142784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8917 (or 8907 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 2040142784 is about 45167.9397803353. The cubic root of 2040142784 is about 1268.2947299242.

The spelling of 2040142784 in words is "two billion, forty million, one hundred forty-two thousand, seven hundred eighty-four".