2781064 has 72 divisors (see below), whose sum is σ = 6571530. Its totient is φ = 1098240.

The previous prime is 2781061. The next prime is 2781067. The reversal of 2781064 is 4601872.

2781064 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 (2781061) and next prime (2781067).

It can be written as a sum of positive squares in 3 ways, for example, as 1800964 + 980100 = 1342^2 + 990^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781061) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 163584 + ... + 163600.

2^2781064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2781064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285765).

2781064 is an abundant number, since it is smaller than the sum of its proper divisors (3790466).

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

2781064 is a wasteful number, since it uses less digits than its factorization.

2781064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2781064 is about 1667.6522419258. The cubic root of 2781064 is about 140.6275231811.

The spelling of 2781064 in words is "two million, seven hundred eighty-one thousand, sixty-four".