2764368 has 80 divisors (see below), whose sum is σ = 8134400. Its totient is φ = 909792.

The previous prime is 2764361. The next prime is 2764369. The reversal of 2764368 is 8634672.

2764368 is a `hidden beast` number, since 2 + 7 + 643 + 6 + 8 = 666.

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 2⁹ + 7⁷ + 6 + 4⁸ + 3¹³ + 6⁷ + 8³ .

Its product of digits (48384) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34953 + ... + 35031.

It is an arithmetic number, because the mean of its divisors is an integer number (101680).

2^2764368 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 2764368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067200).

2764368 is an abundant number, since it is smaller than the sum of its proper divisors (5370032).

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

2764368 is an frugal number, since it uses more digits than its factorization.

2764368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2764368 is about 1662.6388663808. The cubic root of 2764368 is about 140.3455410091.

The spelling of 2764368 in words is "two million, seven hundred sixty-four thousand, three hundred sixty-eight".