2801280 has 64 divisors (see below), whose sum is σ = 8935200. Its totient is φ = 746496.

The previous prime is 2801273. The next prime is 2801287. The reversal of 2801280 is 821082.

It is an interprime number because it is at equal distance from previous prime (2801273) and next prime (2801287).

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (2801287) 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, 1191 + ... + 2649.

2^2801280 is an apocalyptic number.

2801280 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 2801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467600).

2801280 is an abundant number, since it is smaller than the sum of its proper divisors (6133920).

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

2801280 is a wasteful number, since it uses less digits than its factorization.

2801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2801280 is about 1673.7024825219. The cubic root of 2801280 is about 140.9674488512.

It can be divided in two parts, 2801 and 280, that added together give a triangular number (3081 = T₇₈).

The spelling of 2801280 in words is "two million, eight hundred one thousand, two hundred eighty".