2281839840 has 432 divisors, whose sum is σ = 9202899888. Its totient is φ = 513257472.

The previous prime is 2281839803. The next prime is 2281839887. The reversal of 2281839840 is 489381822.

It is a super-2 number, since 2×2281839840² = 10413586110822451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5150659 + ... + 5151101.

It is an arithmetic number, because the mean of its divisors is an integer number (21303009).

Almost surely, 2^2281839840 is an apocalyptic number.

2281839840 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 2281839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601449944).

2281839840 is an abundant number, since it is smaller than the sum of its proper divisors (6921060048).

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

2281839840 is a wasteful number, since it uses less digits than its factorization.

2281839840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2281839840 is about 47768.6072646042. The cubic root of 2281839840 is about 1316.5228042002.

The spelling of 2281839840 in words is "two billion, two hundred eighty-one million, eight hundred thirty-nine thousand, eight hundred forty".