2947280 has 80 divisors (see below), whose sum is σ = 8273280. Its totient is φ = 953856.

The previous prime is 2947271. The next prime is 2947283. The reversal of 2947280 is 827492.

2947280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2947283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10502 + ... + 10778.

It is an arithmetic number, because the mean of its divisors is an integer number (103416).

2^2947280 is an apocalyptic number.

2947280 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 2947280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136640).

2947280 is an abundant number, since it is smaller than the sum of its proper divisors (5326000).

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

2947280 is a wasteful number, since it uses less digits than its factorization.

2947280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2947280 is about 1716.7643985125. The cubic root of 2947280 is about 143.3751215216.

The spelling of 2947280 in words is "two million, nine hundred forty-seven thousand, two hundred eighty".