2261280 has 96 divisors (see below), whose sum is σ = 8152704. Its totient is φ = 516096.

The previous prime is 2261269. The next prime is 2261297. The reversal of 2261280 is 821622.

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

It is a super-2 number, since 2×2261280² = 10226774476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3024 + ... + 3696.

It is an arithmetic number, because the mean of its divisors is an integer number (84924).

2^2261280 is an apocalyptic number.

2261280 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 2261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076352).

2261280 is an abundant number, since it is smaller than the sum of its proper divisors (5891424).

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

2261280 is a wasteful number, since it uses less digits than its factorization.

2261280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2261280 is about 1503.7552992425. The cubic root of 2261280 is about 131.2556822937.

The spelling of 2261280 in words is "two million, two hundred sixty-one thousand, two hundred eighty".