2564128 has 24 divisors (see below), whose sum is σ = 5769792. Its totient is φ = 1098816.

The previous prime is 2564123. The next prime is 2564143. The reversal of 2564128 is 8214652.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2564096 and 2564105.

It is not an unprimeable number, because it can be changed into a prime (2564123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5500 + ... + 5947.

It is an arithmetic number, because the mean of its divisors is an integer number (240408).

2^2564128 is an apocalyptic number.

2564128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2564128 is an abundant number, since it is smaller than the sum of its proper divisors (3205664).

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

2564128 is a wasteful number, since it uses less digits than its factorization.

2564128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11464 (or 11456 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2564128 is about 1601.2894803876. The cubic root of 2564128 is about 136.8715652134.

The spelling of 2564128 in words is "two million, five hundred sixty-four thousand, one hundred twenty-eight".