2564341416 has 160 divisors (see below), whose sum is σ = 8840240640. Its totient is φ = 676294272.

The previous prime is 2564341411. The next prime is 2564341427. The reversal of 2564341416 is 6141434652.

2564341416 is a `hidden beast` number, since 2 + 5 + 643 + 4 + 1 + 4 + 1 + 6 = 666.

2564341416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2564341411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37225 + ... + 80711.

It is an arithmetic number, because the mean of its divisors is an integer number (55251504).

Almost surely, 2^2564341416 is an apocalyptic number.

2564341416 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 2564341416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420120320).

2564341416 is an abundant number, since it is smaller than the sum of its proper divisors (6275899224).

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

2564341416 is a wasteful number, since it uses less digits than its factorization.

2564341416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43525 (or 43512 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2564341416 is about 50639.3267727761. The cubic root of 2564341416 is about 1368.7536244603.

The spelling of 2564341416 in words is "two billion, five hundred sixty-four million, three hundred forty-one thousand, four hundred sixteen".