2779472 has 40 divisors (see below), whose sum is σ = 5832960. Its totient is φ = 1278720.

The previous prime is 2779463. The next prime is 2779487. The reversal of 2779472 is 2749772.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a d-powerful number, because it can be written as 2¹⁷ + 7³ + 7⁴ + 9⁶ + 4⁴ + 7⁵ + 2²¹ .

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, 12353 + ... + 12575.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

2^2779472 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 2779472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916480).

2779472 is an abundant number, since it is smaller than the sum of its proper divisors (3053488).

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

2779472 is a wasteful number, since it uses less digits than its factorization.

2779472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 49392, while the sum is 38.

The square root of 2779472 is about 1667.1748558565. The cubic root of 2779472 is about 140.6006843225.

The spelling of 2779472 in words is "two million, seven hundred seventy-nine thousand, four hundred seventy-two".