2945280 has 144 divisors (see below), whose sum is σ = 10301760. Its totient is φ = 712704.

The previous prime is 2945249. The next prime is 2945287. The reversal of 2945280 is 825492.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2945287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49891 + ... + 49949.

It is an arithmetic number, because the mean of its divisors is an integer number (71540).

2^2945280 is an apocalyptic number.

2945280 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 2945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150880).

2945280 is an abundant number, since it is smaller than the sum of its proper divisors (7356480).

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

2945280 is a wasteful number, since it uses less digits than its factorization.

2945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2945280 is about 1716.1818085506. The cubic root of 2945280 is about 143.3426831230.

The spelling of 2945280 in words is "two million, nine hundred forty-five thousand, two hundred eighty".