2772784 has 40 divisors (see below), whose sum is σ = 6467840. Its totient is φ = 1124928.

The previous prime is 2772767. The next prime is 2772827. The reversal of 2772784 is 4872772.

It is a super-2 number, since 2×2772784² = 15376662221312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1477 + ... + 2779.

It is an arithmetic number, because the mean of its divisors is an integer number (161696).

2^2772784 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 2772784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233920).

2772784 is an abundant number, since it is smaller than the sum of its proper divisors (3695056).

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

2772784 is a wasteful number, since it uses less digits than its factorization.

2772784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1331 counting only the distinct ones).

The product of its digits is 43904, while the sum is 37.

The square root of 2772784 is about 1665.1678594064. The cubic root of 2772784 is about 140.4878220470.

The spelling of 2772784 in words is "two million, seven hundred seventy-two thousand, seven hundred eighty-four".