2212560 has 120 divisors (see below), whose sum is σ = 8511360. Its totient is φ = 504576.

The previous prime is 2212547. The next prime is 2212571. The reversal of 2212560 is 652122.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4821 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (70928).

2^2212560 is an apocalyptic number.

2212560 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 2212560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255680).

2212560 is an abundant number, since it is smaller than the sum of its proper divisors (6298800).

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

2212560 is a wasteful number, since it uses less digits than its factorization.

2212560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2212560 is about 1487.4676467070. The cubic root of 2212560 is about 130.3061816546.

Adding to 2212560 its reverse (652122), we get a palindrome (2864682).

It can be divided in two parts, 2212 and 560, that added together give a palindrome (2772).

The spelling of 2212560 in words is "two million, two hundred twelve thousand, five hundred sixty".