2267541 has 8 divisors (see below), whose sum is σ = 3359360. Its totient is φ = 1511676.

The previous prime is 2267533. The next prime is 2267543. The reversal of 2267541 is 1457622.

It is not a de Polignac number, because 2267541 - 2³ = 2267533 is a prime.

It is a super-3 number, since 3×2267541³ = 34977333659186464263, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 83983 = 2267541 / (2 + 2 + 6 + 7 + 5 + 4 + 1).

It is an Ulam number.

It is a Duffinian number.

2267541 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267543) 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, 41965 + ... + 42018.

It is an arithmetic number, because the mean of its divisors is an integer number (419920).

2^2267541 is an apocalyptic number.

It is an amenable number.

2267541 is a deficient number, since it is larger than the sum of its proper divisors (1091819).

2267541 is an equidigital number, since it uses as much as digits as its factorization.

2267541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83992 (or 83986 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2267541 is about 1505.8356484026. The cubic root of 2267541 is about 131.3767102861.

The spelling of 2267541 in words is "two million, two hundred sixty-seven thousand, five hundred forty-one".