2261540 has 24 divisors (see below), whose sum is σ = 4817400. Its totient is φ = 891648.

The previous prime is 2261531. The next prime is 2261549. The reversal of 2261540 is 451622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2261531) and next prime (2261549).

It can be written as a sum of positive squares in 4 ways, for example, as 164836 + 2096704 = 406^2 + 1448^2 .

It is a super-2 number, since 2×2261540² = 10229126343200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2261549) 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, 686 + ... + 2234.

It is an arithmetic number, because the mean of its divisors is an integer number (200725).

2^2261540 is an apocalyptic number.

2261540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261540 is an abundant number, since it is smaller than the sum of its proper divisors (2555860).

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

2261540 is a wasteful number, since it uses less digits than its factorization.

2261540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2261540 is about 1503.8417469933. The cubic root of 2261540 is about 131.2607126555.

The spelling of 2261540 in words is "two million, two hundred sixty-one thousand, five hundred forty".