2962120 has 64 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 994560.

The previous prime is 2962111. The next prime is 2962133. The reversal of 2962120 is 212692.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2962091 and 2962100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19806 + ... + 19954.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

2^2962120 is an apocalyptic number.

2962120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2962120 is the 994-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2962120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

2962120 is an abundant number, since it is smaller than the sum of its proper divisors (4813880).

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

2962120 is a wasteful number, since it uses less digits than its factorization.

2962120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2962120 is about 1721.0810556159. The cubic root of 2962120 is about 143.6153572287.

The spelling of 2962120 in words is "two million, nine hundred sixty-two thousand, one hundred twenty".