2049264 has 120 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 549504.

The previous prime is 2049263. The next prime is 2049269. The reversal of 2049264 is 4629402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19099 + ... + 19205.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

2^2049264 is an apocalyptic number.

2049264 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 2049264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2049264 is an abundant number, since it is smaller than the sum of its proper divisors (4914576).

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

2049264 is a wasteful number, since it uses less digits than its factorization.

2049264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2049264 is about 1431.5250609053. The cubic root of 2049264 is about 127.0182047601.

It can be divided in two parts, 20 and 49264, that added together give a square (49284 = 222²).

The spelling of 2049264 in words is "two million, forty-nine thousand, two hundred sixty-four".