2261000 has 128 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 691200.

The previous prime is 2260967. The next prime is 2261009. The reversal of 2261000 is 1622.

It is a super-2 number, since 2×2261000² = 10224242000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118991 + ... + 119009.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

2^2261000 is an apocalyptic number.

2261000 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 2261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369600).

2261000 is an abundant number, since it is smaller than the sum of its proper divisors (4478200).

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

2261000 is a wasteful number, since it uses less digits than its factorization.

2261000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2261000 is about 1503.6621961066. The cubic root of 2261000 is about 131.2502645497.

Adding to 2261000 its reverse (1622), we get a palindrome (2262622).

The spelling of 2261000 in words is "two million, two hundred sixty-one thousand".