2147264 has 28 divisors (see below), whose sum is σ = 4870704. Its totient is φ = 920064.

The previous prime is 2147263. The next prime is 2147269. The reversal of 2147264 is 4627412.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×2147264² = 9221485371392, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹⁵ + 1 + 4³ + 7⁵ + 2²¹ + 6³ + 4⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2147263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1949 + ... + 2844.

2^2147264 is an apocalyptic number.

It is an amenable number.

2147264 is an abundant number, since it is smaller than the sum of its proper divisors (2723440).

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

2147264 is an equidigital number, since it uses as much as digits as its factorization.

2147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4802 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 2147264 is about 1465.3545646020. The cubic root of 2147264 is about 129.0115167091.

It can be divided in two parts, 2 and 147264, that multiplied together give a triangular number (294528 = T₇₆₇).

The spelling of 2147264 in words is "two million, one hundred forty-seven thousand, two hundred sixty-four".