2768472 has 64 divisors (see below), whose sum is σ = 8793600. Its totient is φ = 790560.

The previous prime is 2768461. The next prime is 2768483. The reversal of 2768472 is 2748672.

2768472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2768461) and next prime (2768483).

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

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

It is a d-powerful number, because it can be written as 2¹⁷ + 7⁴ + 6⁸ + 8³ + 4⁴ + 7⁷ + 2¹⁷ .

It is a congruent number.

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, 597 + ... + 2427.

It is an arithmetic number, because the mean of its divisors is an integer number (137400).

2^2768472 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 2768472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396800).

2768472 is an abundant number, since it is smaller than the sum of its proper divisors (6025128).

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

2768472 is a wasteful number, since it uses less digits than its factorization.

2768472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1843 counting only the distinct ones).

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

The square root of 2768472 is about 1663.8725912761. The cubic root of 2768472 is about 140.4149593236.

It can be divided in two parts, 2768 and 472, that added together give a triangular number (3240 = T₈₀).

The spelling of 2768472 in words is "two million, seven hundred sixty-eight thousand, four hundred seventy-two".