2263641 has 16 divisors (see below), whose sum is σ = 3210240. Its totient is φ = 1414800.

The previous prime is 2263633. The next prime is 2263643. The reversal of 2263641 is 1463622.

It is not a de Polignac number, because 2263641 - 2³ = 2263633 is a prime.

2263641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2263643) 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, 8476 + ... + 8738.

It is an arithmetic number, because the mean of its divisors is an integer number (200640).

2^2263641 is an apocalyptic number.

It is an amenable number.

2263641 is a deficient number, since it is larger than the sum of its proper divisors (946599).

2263641 is a wasteful number, since it uses less digits than its factorization.

2263641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436.

The product of its digits is 1728, while the sum is 24.

The square root of 2263641 is about 1504.5401290760. The cubic root of 2263641 is about 131.3013477095.

The spelling of 2263641 in words is "two million, two hundred sixty-three thousand, six hundred forty-one".