2282717520 has 120 divisors (see below), whose sum is σ = 7734243816. Its totient is φ = 603316224.

The previous prime is 2282717477. The next prime is 2282717557. The reversal of 2282717520 is 257172822.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 2282163984 = 744^2 + 47772^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2282717520² = 10421598552229900800, which contains 22 as substring.

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, 67332 + ... + 95388.

Almost surely, 2^2282717520 is an apocalyptic number.

2282717520 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 2282717520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867121908).

2282717520 is an abundant number, since it is smaller than the sum of its proper divisors (5451526296).

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

2282717520 is a wasteful number, since it uses less digits than its factorization.

2282717520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28189 (or 28180 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2282717520 is about 47777.7931679562. The cubic root of 2282717520 is about 1316.6915770181.

The spelling of 2282717520 in words is "two billion, two hundred eighty-two million, seven hundred seventeen thousand, five hundred twenty".