2285660160 has 384 divisors, whose sum is σ = 9293356800. Its totient is φ = 521994240.

The previous prime is 2285660077. The next prime is 2285660161. The reversal of 2285660160 is 610665822.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×2285660160³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (2285660161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1934770 + ... + 1935950.

It is an arithmetic number, because the mean of its divisors is an integer number (24201450).

Almost surely, 2^2285660160 is an apocalyptic number.

2285660160 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 2285660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646678400).

2285660160 is an abundant number, since it is smaller than the sum of its proper divisors (7007696640).

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

2285660160 is a wasteful number, since it uses less digits than its factorization.

2285660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2285660160 is about 47808.5783097552. The cubic root of 2285660160 is about 1317.2571143031.

The spelling of 2285660160 in words is "two billion, two hundred eighty-five million, six hundred sixty thousand, one hundred sixty".