2261380 has 48 divisors (see below), whose sum is σ = 5463360. Its totient is φ = 777600.

The previous prime is 2261377. The next prime is 2261393. The reversal of 2261380 is 831622.

It is a super-2 number, since 2×2261380² = 10227679008800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3910 + ... + 4450.

It is an arithmetic number, because the mean of its divisors is an integer number (113820).

2^2261380 is an apocalyptic number.

2261380 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 2261380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731680).

2261380 is an abundant number, since it is smaller than the sum of its proper divisors (3201980).

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

2261380 is a wasteful number, since it uses less digits than its factorization.

2261380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2261380 is about 1503.7885489656. The cubic root of 2261380 is about 131.2576170938.

The spelling of 2261380 in words is "two million, two hundred sixty-one thousand, three hundred eighty".