2564016 has 80 divisors (see below), whose sum is σ = 8166144. Its totient is φ = 675072.

The previous prime is 2564011. The next prime is 2564027. The reversal of 2564016 is 6104652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4075 + ... + 4661.

2^2564016 is an apocalyptic number.

2564016 is a gapful number since it is divisible by the number (26) 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 2564016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083072).

2564016 is an abundant number, since it is smaller than the sum of its proper divisors (5602128).

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

2564016 is a wasteful number, since it uses less digits than its factorization.

2564016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2564016 is about 1601.2545081904. The cubic root of 2564016 is about 136.8695723542.

Adding to 2564016 its reverse (6104652), we get a palindrome (8668668).

The spelling of 2564016 in words is "two million, five hundred sixty-four thousand, sixteen".