2248064 has 64 divisors (see below), whose sum is σ = 5540640. Its totient is φ = 884736.

The previous prime is 2248039. The next prime is 2248067. The reversal of 2248064 is 4608422.

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

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248067) 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 7 ways as a sum of consecutive naturals, for example, 11552 + ... + 11744.

2^2248064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770320).

2248064 is an abundant number, since it is smaller than the sum of its proper divisors (3292576).

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

2248064 is a wasteful number, since it uses less digits than its factorization.

2248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2248064 is about 1499.3545277885. The cubic root of 2248064 is about 130.9994755529. Note that the first 3 decimals are identical.

It can be divided in two parts, 224 and 8064, that multiplied together give a square (1806336 = 1344²).

The spelling of 2248064 in words is "two million, two hundred forty-eight thousand, sixty-four".