2837280 has 96 divisors (see below), whose sum is σ = 9362304. Its totient is φ = 720896.

The previous prime is 2837279. The next prime is 2837281. The reversal of 2837280 is 827382.

It is an interprime number because it is at equal distance from previous prime (2837279) and next prime (2837281).

It is a tau number, because it is divible by the number of its divisors (96).

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 (2837281) 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, 10912 + ... + 11168.

It is an arithmetic number, because the mean of its divisors is an integer number (97524).

2^2837280 is an apocalyptic number.

2837280 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 2837280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681152).

2837280 is an abundant number, since it is smaller than the sum of its proper divisors (6525024).

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

2837280 is a wasteful number, since it uses less digits than its factorization.

2837280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2837280 is about 1684.4227497870. The cubic root of 2837280 is about 141.5687504854.

The spelling of 2837280 in words is "two million, eight hundred thirty-seven thousand, two hundred eighty".