2781072 has 120 divisors (see below), whose sum is σ = 9285120. Its totient is φ = 760320.

The previous prime is 2781067. The next prime is 2781073. The reversal of 2781072 is 2701872.

2781072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2781072² = 15468722938368, which contains 22 as substring.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2781073) 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 23 ways as a sum of consecutive naturals, for example, 31204 + ... + 31292.

It is an arithmetic number, because the mean of its divisors is an integer number (77376).

2^2781072 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 2781072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560).

2781072 is an abundant number, since it is smaller than the sum of its proper divisors (6504048).

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

2781072 is a wasteful number, since it uses less digits than its factorization.

2781072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2781072 is about 1667.6546405056. The cubic root of 2781072 is about 140.6276580238.

The spelling of 2781072 in words is "two million, seven hundred eighty-one thousand, seventy-two".