2965280 has 48 divisors (see below), whose sum is σ = 7185024. Its totient is φ = 1155840.

The previous prime is 2965253. The next prime is 2965289. The reversal of 2965280 is 825692.

2965280 = T₁₉₉ + T₂₀₀ + ... + T₂₉₄.

2965280 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 (32).

It is not an unprimeable number, because it can be changed into a prime (2965289) 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, 6665 + ... + 7095.

It is an arithmetic number, because the mean of its divisors is an integer number (149688).

2^2965280 is an apocalyptic number.

2965280 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 2965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592512).

2965280 is an abundant number, since it is smaller than the sum of its proper divisors (4219744).

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

2965280 is a wasteful number, since it uses less digits than its factorization.

2965280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2965280 is about 1721.9988385594. The cubic root of 2965280 is about 143.6664088678. Note that the first 3 decimals are identical.

2965280 divided by its sum of digits (32) gives a triangular number (92665 = T₄₃₀).

The spelling of 2965280 in words is "two million, nine hundred sixty-five thousand, two hundred eighty".