2283939840 has 768 divisors, whose sum is σ = 9686476800. Its totient is φ = 445906944.

The previous prime is 2283939839. The next prime is 2283939871. The reversal of 2283939840 is 489393822.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2283939840.

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, 53114859 + ... + 53114901.

It is an arithmetic number, because the mean of its divisors is an integer number (12612600).

Almost surely, 2^2283939840 is an apocalyptic number.

2283939840 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 2283939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843238400).

2283939840 is an abundant number, since it is smaller than the sum of its proper divisors (7402536960).

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

2283939840 is a wasteful number, since it uses less digits than its factorization.

2283939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 2283939840 is about 47790.5831728386. The cubic root of 2283939840 is about 1316.9265500646.

The spelling of 2283939840 in words is "two billion, two hundred eighty-three million, nine hundred thirty-nine thousand, eight hundred forty".