2098080 has 144 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 529920.

The previous prime is 2098079. The next prime is 2098081. The reversal of 2098080 is 808902.

2098080 = 245² + 246² + ... + 275².

It is an interprime number because it is at equal distance from previous prime (2098079) and next prime (2098081).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2098081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44617 + ... + 44663.

It is an arithmetic number, because the mean of its divisors is an integer number (52416).

2^2098080 is an apocalyptic number.

2098080 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 2098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952).

2098080 is an abundant number, since it is smaller than the sum of its proper divisors (5449824).

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

2098080 is a wasteful number, since it uses less digits than its factorization.

2098080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2098080 is about 1448.4750601926. The cubic root of 2098080 is about 128.0188774242.

The spelling of 2098080 in words is "two million, ninety-eight thousand, eighty".