2681120 has 48 divisors (see below), whose sum is σ = 6826680. Its totient is φ = 989184.

The previous prime is 2681117. The next prime is 2681141. The reversal of 2681120 is 211862.

It can be written as a sum of positive squares in 4 ways, for example, as 2085136 + 595984 = 1444^2 + 772^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2681092 and 2681101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1436 + ... + 2724.

2^2681120 is an apocalyptic number.

2681120 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 2681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413340).

2681120 is an abundant number, since it is smaller than the sum of its proper divisors (4145560).

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

2681120 is a wasteful number, since it uses less digits than its factorization.

2681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2681120 is about 1637.4125930870. The cubic root of 2681120 is about 138.9223381362.

Adding to 2681120 its reverse (211862), we get a palindrome (2892982).

The spelling of 2681120 in words is "two million, six hundred eighty-one thousand, one hundred twenty".