2917120 has 72 divisors (see below), whose sum is σ = 7284816. Its totient is φ = 1118208.

The previous prime is 2917099. The next prime is 2917129. The reversal of 2917120 is 217192.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2917091 and 2917100.

It is not an unprimeable number, because it can be changed into a prime (2917129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55014 + ... + 55066.

It is an arithmetic number, because the mean of its divisors is an integer number (101178).

2^2917120 is an apocalyptic number.

2917120 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 2917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642408).

2917120 is an abundant number, since it is smaller than the sum of its proper divisors (4367696).

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

2917120 is an equidigital number, since it uses as much as digits as its factorization.

2917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 2917120 is about 1707.9578449130. The cubic root of 2917120 is about 142.8843833768.

The spelling of 2917120 in words is "two million, nine hundred seventeen thousand, one hundred twenty".