2261140 has 48 divisors (see below), whose sum is σ = 5612544. Its totient is φ = 748800.

The previous prime is 2261131. The next prime is 2261143. The reversal of 2261140 is 411622.

It is a super-2 number, since 2×2261140² = 10225508199200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261143) 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, 4080 + ... + 4600.

It is an arithmetic number, because the mean of its divisors is an integer number (116928).

2^2261140 is an apocalyptic number.

2261140 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 2261140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806272).

2261140 is an abundant number, since it is smaller than the sum of its proper divisors (3351404).

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

2261140 is a wasteful number, since it uses less digits than its factorization.

2261140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2261140 is about 1503.7087483951. The cubic root of 2261140 is about 131.2529734776.

Adding to 2261140 its reverse (411622), we get a palindrome (2672762).

It can be divided in two parts, 2261 and 140, that added together give a 4-th power (2401 = 7⁴).

The spelling of 2261140 in words is "two million, two hundred sixty-one thousand, one hundred forty".