2628720 has 80 divisors (see below), whose sum is σ = 9061920. Its totient is φ = 700416.

The previous prime is 2628713. The next prime is 2628737. The reversal of 2628720 is 278262.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1552 + ... + 2768.

It is an arithmetic number, because the mean of its divisors is an integer number (113274).

2^2628720 is an apocalyptic number.

2628720 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 2628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530960).

2628720 is an abundant number, since it is smaller than the sum of its proper divisors (6433200).

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

2628720 is a wasteful number, since it uses less digits than its factorization.

2628720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2628720 is about 1621.3327850876. The cubic root of 2628720 is about 138.0113412229.

The spelling of 2628720 in words is "two million, six hundred twenty-eight thousand, seven hundred twenty".