2261520 has 100 divisors (see below), whose sum is σ = 7877100. Its totient is φ = 601344.

The previous prime is 2261509. The next prime is 2261531. The reversal of 2261520 is 251622.

It is an interprime number because it is at equal distance from previous prime (2261509) and next prime (2261531).

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 1016064 = 1116^2 + 1008^2 .

It is a super-2 number, since 2×2261520² = 10228945420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2261493 and 2261502.

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 19 ways as a sum of consecutive naturals, for example, 6306 + ... + 6654.

It is an arithmetic number, because the mean of its divisors is an integer number (78771).

2^2261520 is an apocalyptic number.

2261520 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 2261520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938550).

2261520 is an abundant number, since it is smaller than the sum of its proper divisors (5615580).

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

2261520 is a wasteful number, since it uses less digits than its factorization.

2261520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2261520 is about 1503.8350973428. The cubic root of 2261520 is about 131.2603257182.

The spelling of 2261520 in words is "two million, two hundred sixty-one thousand, five hundred twenty".