2042249440 has 384 divisors, whose sum is σ = 6531840000. Its totient is φ = 596090880.

The previous prime is 2042249437. The next prime is 2042249497. The reversal of 2042249440 is 449422402.

It is a super-3 number, since 3×2042249440³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10262461 + ... + 10262659.

It is an arithmetic number, because the mean of its divisors is an integer number (17010000).

Almost surely, 2^2042249440 is an apocalyptic number.

2042249440 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 2042249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920000).

2042249440 is an abundant number, since it is smaller than the sum of its proper divisors (4489590560).

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

2042249440 is a wasteful number, since it uses less digits than its factorization.

2042249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 2042249440 is about 45191.2540211046. The cubic root of 2042249440 is about 1268.7311277415.

The spelling of 2042249440 in words is "two billion, forty-two million, two hundred forty-nine thousand, four hundred forty".