2564096 has 28 divisors (see below), whose sum is σ = 5144262. Its totient is φ = 1277952.

The previous prime is 2564077. The next prime is 2564101. The reversal of 2564096 is 6904652.

It can be written as a sum of positive squares in only one way, i.e., 2560000 + 4096 = 1600^2 + 64^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 as a sum of consecutive naturals, namely, 8036 + ... + 8348.

2^2564096 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 2564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572131).

2564096 is an abundant number, since it is smaller than the sum of its proper divisors (2580166).

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

2564096 is an frugal number, since it uses more digits than its factorization.

2564096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2564096 is about 1601.2794884092. The cubic root of 2564096 is about 136.8709958310.

It can be divided in two parts, 256 and 4096, that multiplied together give a 20-th power (1048576 = 2²⁰).

The spelling of 2564096 in words is "two million, five hundred sixty-four thousand, ninety-six".