2966220 has 60 divisors (see below), whose sum is σ = 9310224. Its totient is φ = 790560.

The previous prime is 2966219. The next prime is 2966221. The reversal of 2966220 is 226692.

It is an interprime number because it is at equal distance from previous prime (2966219) and next prime (2966221).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2966220² = 17596922176800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2966221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 705 + ... + 2535.

2^2966220 is an apocalyptic number.

2966220 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 2966220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655112).

2966220 is an abundant number, since it is smaller than the sum of its proper divisors (6344004).

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

2966220 is a wasteful number, since it uses less digits than its factorization.

2966220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2966220 is about 1722.2717555601. The cubic root of 2966220 is about 143.6815881153.

The spelling of 2966220 in words is "two million, nine hundred sixty-six thousand, two hundred twenty".