2212896 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 608256.

The previous prime is 2212891. The next prime is 2212921. The reversal of 2212896 is 6982122.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2212891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24820 + ... + 24908.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2^2212896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2212896 is an abundant number, since it is smaller than the sum of its proper divisors (4681824).

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

2212896 is a wasteful number, since it uses less digits than its factorization.

2212896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2212896 is about 1487.5805860524. The cubic root of 2212896 is about 130.3127774321.

The spelling of 2212896 in words is "two million, two hundred twelve thousand, eight hundred ninety-six".