2227680 has 288 divisors, whose sum is σ = 9906624. Its totient is φ = 442368.

The previous prime is 2227669. The next prime is 2227717. The reversal of 2227680 is 867222.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131032 + ... + 131048.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2^2227680 is an apocalyptic number.

2227680 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 2227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

2227680 is an abundant number, since it is smaller than the sum of its proper divisors (7678944).

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

2227680 is a wasteful number, since it uses less digits than its factorization.

2227680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2227680 is about 1492.5414567107. The cubic root of 2227680 is about 130.6023330861.

The spelling of 2227680 in words is "two million, two hundred twenty-seven thousand, six hundred eighty".