2564730 has 128 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 551232.

The previous prime is 2564719. The next prime is 2564741. The reversal of 2564730 is 374652.

It is a happy number.

2564730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2564719) and next prime (2564741).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2564694 and 2564703.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43441 + ... + 43499.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

2^2564730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147200).

2564730 is an abundant number, since it is smaller than the sum of its proper divisors (5729670).

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

2564730 is a wasteful number, since it uses less digits than its factorization.

2564730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2564730 is about 1601.4774428633. The cubic root of 2564730 is about 136.8822758377.

The spelling of 2564730 in words is "two million, five hundred sixty-four thousand, seven hundred thirty".