2817920 has 128 divisors (see below), whose sum is σ = 8372160. Its totient is φ = 884736.

The previous prime is 2817917. The next prime is 2817929. The reversal of 2817920 is 297182.

2817920 = 91² + 92² + ... + 209².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2817929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76142 + ... + 76178.

2^2817920 is an apocalyptic number.

2817920 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 2817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186080).

2817920 is an abundant number, since it is smaller than the sum of its proper divisors (5554240).

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

2817920 is a wasteful number, since it uses less digits than its factorization.

2817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 2817920 is about 1678.6661371458. Note that the first 3 decimals coincide. The cubic root of 2817920 is about 141.2460201975.

The spelling of 2817920 in words is "two million, eight hundred seventeen thousand, nine hundred twenty".