2042742240 has 960 divisors, whose sum is σ = 9484231680. Its totient is φ = 401448960.

The previous prime is 2042742203. The next prime is 2042742257. The reversal of 2042742240 is 422472402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22952116 + ... + 22952204.

It is an arithmetic number, because the mean of its divisors is an integer number (9879408).

Almost surely, 2^2042742240 is an apocalyptic number.

2042742240 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 2042742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742115840).

2042742240 is an abundant number, since it is smaller than the sum of its proper divisors (7441489440).

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

2042742240 is a wasteful number, since it uses less digits than its factorization.

2042742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2042742240 is about 45196.7060746688. The cubic root of 2042742240 is about 1268.8331688869.

The spelling of 2042742240 in words is "two billion, forty-two million, seven hundred forty-two thousand, two hundred forty".