2778336 has 72 divisors (see below), whose sum is σ = 8628984. Its totient is φ = 840960.

The previous prime is 2778329. The next prime is 2778341. The reversal of 2778336 is 6338772.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2778336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2730 + ... + 3606.

It is an arithmetic number, because the mean of its divisors is an integer number (119847).

2^2778336 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 2778336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314492).

2778336 is an abundant number, since it is smaller than the sum of its proper divisors (5850648).

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

2778336 is a wasteful number, since it uses less digits than its factorization.

2778336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 893 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2778336 is about 1666.8341249207. The cubic root of 2778336 is about 140.5815267101.

The spelling of 2778336 in words is "two million, seven hundred seventy-eight thousand, three hundred thirty-six".