2097280 has 64 divisors (see below), whose sum is σ = 5232600. Its totient is φ = 802816.

The previous prime is 2097259. The next prime is 2097287. The reversal of 2097280 is 827902.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 1032256 = 1032^2 + 1016^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 2⁵ + 0 + 9² + 7 + 2²¹ + 8 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18504 + ... + 18616.

2^2097280 is an apocalyptic number.

2097280 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 2097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616300).

2097280 is an abundant number, since it is smaller than the sum of its proper divisors (3135320).

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

2097280 is a wasteful number, since it uses less digits than its factorization.

2097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2097280 is about 1448.1988813695. The cubic root of 2097280 is about 128.0026041137.

The spelling of 2097280 in words is "two million, ninety-seven thousand, two hundred eighty".