2984120 has 32 divisors (see below), whose sum is σ = 6829920. Its totient is φ = 1173120.

The previous prime is 2984117. The next prime is 2984131. The reversal of 2984120 is 214892.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2984120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1829 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (213435).

2^2984120 is an apocalyptic number.

2984120 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 2984120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960).

2984120 is an abundant number, since it is smaller than the sum of its proper divisors (3845800).

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

2984120 is a wasteful number, since it uses less digits than its factorization.

2984120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2984120 is about 1727.4605639493. The cubic root of 2984120 is about 143.9700297711.

The spelling of 2984120 in words is "two million, nine hundred eighty-four thousand, one hundred twenty".