2710080 has 84 divisors (see below), whose sum is σ = 9331452. Its totient is φ = 721920.

The previous prime is 2710063. The next prime is 2710087. The reversal of 2710080 is 800172.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 1382976 = 1152^2 + 1176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2710087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2410 + ... + 3350.

2^2710080 is an apocalyptic number.

2710080 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 2710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665726).

2710080 is an abundant number, since it is smaller than the sum of its proper divisors (6621372).

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

2710080 is a wasteful number, since it uses less digits than its factorization.

2710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2710080 is about 1646.2320614057. The cubic root of 2710080 is about 139.4207357929.

The spelling of 2710080 in words is "two million, seven hundred ten thousand, eighty".