2282503680 has 240 divisors, whose sum is σ = 7967909664. Its totient is φ = 603832320.

The previous prime is 2282503637. The next prime is 2282503703. The reversal of 2282503680 is 863052822.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3616965 + ... + 3617595.

Almost surely, 2^2282503680 is an apocalyptic number.

2282503680 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 2282503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983954832).

2282503680 is an abundant number, since it is smaller than the sum of its proper divisors (5685405984).

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

2282503680 is a wasteful number, since it uses less digits than its factorization.

2282503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2282503680 is about 47775.5552558000. Note that the first 3 decimals coincide. The cubic root of 2282503680 is about 1316.6504608022.

The spelling of 2282503680 in words is "two billion, two hundred eighty-two million, five hundred three thousand, six hundred eighty".