2647480 has 48 divisors (see below), whose sum is σ = 6559560. Its totient is φ = 960960.

The previous prime is 2647471. The next prime is 2647481. The reversal of 2647480 is 847462.

2647480 is nontrivially palindromic in base 3.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2647481) 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, 4567 + ... + 5113.

2^2647480 is an apocalyptic number.

2647480 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 2647480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279780).

2647480 is an abundant number, since it is smaller than the sum of its proper divisors (3912080).

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

2647480 is a wasteful number, since it uses less digits than its factorization.

2647480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2647480 is about 1627.1078636649. The cubic root of 2647480 is about 138.3388717319.

It can be divided in two parts, 264 and 7480, that added together give a square (7744 = 88²).

The spelling of 2647480 in words is "two million, six hundred forty-seven thousand, four hundred eighty".