2088480 has 96 divisors (see below), whose sum is σ = 6955200. Its totient is φ = 525312.

The previous prime is 2088479. The next prime is 2088487. The reversal of 2088480 is 848802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2088487) 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, 9006 + ... + 9234.

It is an arithmetic number, because the mean of its divisors is an integer number (72450).

2^2088480 is an apocalyptic number.

2088480 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 2088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477600).

2088480 is an abundant number, since it is smaller than the sum of its proper divisors (4866720).

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

2088480 is a wasteful number, since it uses less digits than its factorization.

2088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2088480 is about 1445.1574308704. The cubic root of 2088480 is about 127.8233239578.

The spelling of 2088480 in words is "two million, eighty-eight thousand, four hundred eighty".