2564034 has 32 divisors (see below), whose sum is σ = 5707584. Its totient is φ = 761280.

The previous prime is 2564027. The next prime is 2564039. The reversal of 2564034 is 4304652.

It is a junction number, because it is equal to n+sod(n) for n = 2563995 and 2564013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564039) 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, 3132 + ... + 3864.

It is an arithmetic number, because the mean of its divisors is an integer number (178362).

2^2564034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853792).

2564034 is an abundant number, since it is smaller than the sum of its proper divisors (3143550).

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

2564034 is a wasteful number, since it uses less digits than its factorization.

2564034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2564034 is about 1601.2601287736. The cubic root of 2564034 is about 136.8698926390.

Adding to 2564034 its reverse (4304652), we get a palindrome (6868686).

The spelling of 2564034 in words is "two million, five hundred sixty-four thousand, thirty-four".