2967280 has 40 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 1145088.

The previous prime is 2967277. The next prime is 2967317. The reversal of 2967280 is 827692.

2967280 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 (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1681 + ... + 2959.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

2^2967280 is an apocalyptic number.

2967280 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 2967280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2967280 is an abundant number, since it is smaller than the sum of its proper divisors (4175120).

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

2967280 is a wasteful number, since it uses less digits than its factorization.

2967280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2967280 is about 1722.5794611570. The cubic root of 2967280 is about 143.6987012924.

The spelling of 2967280 in words is "two million, nine hundred sixty-seven thousand, two hundred eighty".