2210880 has 168 divisors, whose sum is σ = 8339328. Its totient is φ = 494592.

The previous prime is 2210851. The next prime is 2210881. The reversal of 2210880 is 880122.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2210881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47017 + ... + 47063.

2^2210880 is an apocalyptic number.

2210880 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 2210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169664).

2210880 is an abundant number, since it is smaller than the sum of its proper divisors (6128448).

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

2210880 is a wasteful number, since it uses less digits than its factorization.

2210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2210880 is about 1486.9028213034. The cubic root of 2210880 is about 130.2731927464.

The spelling of 2210880 in words is "two million, two hundred ten thousand, eight hundred eighty".