2139264 has 64 divisors (see below), whose sum is σ = 6324000. Its totient is φ = 711936.

The previous prime is 2139233. The next prime is 2139283. The reversal of 2139264 is 4629312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

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 7 ways as a sum of consecutive naturals, for example, 3147 + ... + 3765.

2^2139264 is an apocalyptic number.

2139264 is a gapful number since it is divisible by the number (24) 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 2139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162000).

2139264 is an abundant number, since it is smaller than the sum of its proper divisors (4184736).

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

2139264 is an equidigital number, since it uses as much as digits as its factorization.

2139264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2139264 is about 1462.6223025785. The cubic root of 2139264 is about 128.8510991516.

The spelling of 2139264 in words is "two million, one hundred thirty-nine thousand, two hundred sixty-four".