2784672 has 96 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 840960.

The previous prime is 2784653. The next prime is 2784689. The reversal of 2784672 is 2764872.

2784672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a d-powerful number, because it can be written as 2¹⁵ + 7⁶ + 8 + 4² + 6⁸ + 7⁷ + 2¹⁷ .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9358 + ... + 9650.

It is an arithmetic number, because the mean of its divisors is an integer number (92610).

2^2784672 is an apocalyptic number.

2784672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2784672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

2784672 is an abundant number, since it is smaller than the sum of its proper divisors (6105888).

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

2784672 is a wasteful number, since it uses less digits than its factorization.

2784672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2784672 is about 1668.7336516053. The cubic root of 2784672 is about 140.6883110479.

It can be divided in two parts, 278 and 4672, that added together give a triangular number (4950 = T₉₉).

The spelling of 2784672 in words is "two million, seven hundred eighty-four thousand, six hundred seventy-two".