2983280 has 40 divisors (see below), whose sum is σ = 7030800. Its totient is φ = 1177088.

The previous prime is 2983271. The next prime is 2983289. The reversal of 2983280 is 823892.

2983280 = 49² + 50² + ... + 208².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2983271) and next prime (2983289).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2983289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6911 + ... + 7329.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

2^2983280 is an apocalyptic number.

2983280 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 2983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515400).

2983280 is an abundant number, since it is smaller than the sum of its proper divisors (4047520).

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

2983280 is a wasteful number, since it uses less digits than its factorization.

2983280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2983280 is about 1727.2174153823. The cubic root of 2983280 is about 143.9565197945.

The spelling of 2983280 in words is "two million, nine hundred eighty-three thousand, two hundred eighty".