2968224 has 72 divisors (see below), whose sum is σ = 9078048. Its totient is φ = 846720.

The previous prime is 2968223. The next prime is 2968241. The reversal of 2968224 is 4228692.

2968224 = T₂₇₂ + T₂₇₃ + ... + T₃₃₅.

It is not an unprimeable number, because it can be changed into a prime (2968223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4389 + ... + 5019.

It is an arithmetic number, because the mean of its divisors is an integer number (126084).

2^2968224 is an apocalyptic number.

2968224 is a gapful number since it is divisible by the number (24) 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 2968224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539024).

2968224 is an abundant number, since it is smaller than the sum of its proper divisors (6109824).

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

2968224 is a wasteful number, since it uses less digits than its factorization.

2968224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 643 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2968224 is about 1722.8534470465. The cubic root of 2968224 is about 143.7139382762.

The spelling of 2968224 in words is "two million, nine hundred sixty-eight thousand, two hundred twenty-four".