2042800240 has 160 divisors (see below), whose sum is σ = 5450276160. Its totient is φ = 705380352.

The previous prime is 2042800217. The next prime is 2042800241. The reversal of 2042800240 is 420082402.

It is a super-3 number, since 3×2042800240³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042800241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4013106 + ... + 4013614.

It is an arithmetic number, because the mean of its divisors is an integer number (34064226).

Almost surely, 2^2042800240 is an apocalyptic number.

2042800240 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 2042800240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725138080).

2042800240 is an abundant number, since it is smaller than the sum of its proper divisors (3407475920).

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

2042800240 is a wasteful number, since it uses less digits than its factorization.

2042800240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2042800240 is about 45197.3477097938. The cubic root of 2042800240 is about 1268.8451775202.

Adding to 2042800240 its reverse (420082402), we get a palindrome (2462882642).

The spelling of 2042800240 in words is "two billion, forty-two million, eight hundred thousand, two hundred forty".