2987280 has 100 divisors (see below), whose sum is σ = 10397772. Its totient is φ = 794880.

The previous prime is 2987279. The next prime is 2987287. The reversal of 2987280 is 827892.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 1971216 = 1008^2 + 1404^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2⁸ + 9³ + 8² + 7⁷ + 2¹⁶ + 8⁷ + 0 .

It is not an unprimeable number, because it can be changed into a prime (2987287) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6250 + ... + 6710.

2^2987280 is an apocalyptic number.

2987280 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 2987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198886).

2987280 is an abundant number, since it is smaller than the sum of its proper divisors (7410492).

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

2987280 is a wasteful number, since it uses less digits than its factorization.

2987280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2987280 is about 1728.3749593187. The cubic root of 2987280 is about 144.0208303200.

The spelling of 2987280 in words is "two million, nine hundred eighty-seven thousand, two hundred eighty".