2042378240 has 96 divisors (see below), whose sum is σ = 5600780640. Its totient is φ = 700219392.

The previous prime is 2042378227. The next prime is 2042378251. The reversal of 2042378240 is 428732402.

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

It is a junction number, because it is equal to n+sod(n) for n = 2042378197 and 2042378206.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57434 + ... + 85926.

It is an arithmetic number, because the mean of its divisors is an integer number (58341465).

Almost surely, 2^2042378240 is an apocalyptic number.

2042378240 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 2042378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800390320).

2042378240 is an abundant number, since it is smaller than the sum of its proper divisors (3558402400).

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

2042378240 is an equidigital number, since it uses as much as digits as its factorization.

2042378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28527 (or 28507 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 2042378240 is about 45192.6790531387. The cubic root of 2042378240 is about 1268.7577991707.

The spelling of 2042378240 in words is "two billion, forty-two million, three hundred seventy-eight thousand, two hundred forty".