2726120 has 64 divisors (see below), whose sum is σ = 6868800. Its totient is φ = 967680.

The previous prime is 2726107. The next prime is 2726149. The reversal of 2726120 is 216272.

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 = 2726092 and 2726101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12815 + ... + 13025.

It is an arithmetic number, because the mean of its divisors is an integer number (107325).

2^2726120 is an apocalyptic number.

2726120 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 2726120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434400).

2726120 is an abundant number, since it is smaller than the sum of its proper divisors (4142680).

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

2726120 is a wasteful number, since it uses less digits than its factorization.

2726120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2726120 is about 1651.0966052900. The cubic root of 2726120 is about 139.6952554971.

The spelling of 2726120 in words is "two million, seven hundred twenty-six thousand, one hundred twenty".