2968280 has 32 divisors (see below), whose sum is σ = 7633440. Its totient is φ = 1017600.

The previous prime is 2968279. The next prime is 2968283. The reversal of 2968280 is 828692.

2968280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2968280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968283) 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 7 ways as a sum of consecutive naturals, for example, 5021 + ... + 5580.

It is an arithmetic number, because the mean of its divisors is an integer number (238545).

2^2968280 is an apocalyptic number.

2968280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2968280 is an abundant number, since it is smaller than the sum of its proper divisors (4665160).

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

2968280 is a wasteful number, since it uses less digits than its factorization.

2968280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10619 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2968280 is about 1722.8696990777. The cubic root of 2968280 is about 143.7148420635.

The spelling of 2968280 in words is "two million, nine hundred sixty-eight thousand, two hundred eighty".