2764314 has 64 divisors (see below), whose sum is σ = 7188480. Its totient is φ = 771120.

The previous prime is 2764313. The next prime is 2764331. The reversal of 2764314 is 4134672.

2764314 is a `hidden beast` number, since 2 + 7 + 643 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4032) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (2764313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26787 + ... + 26889.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

2^2764314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2764314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594240).

2764314 is an abundant number, since it is smaller than the sum of its proper divisors (4424166).

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

2764314 is a wasteful number, since it uses less digits than its factorization.

2764314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2764314 is about 1662.6226270564. The cubic root of 2764314 is about 140.3446271524.

Adding to 2764314 its reverse (4134672), we get a palindrome (6898986).

The spelling of 2764314 in words is "two million, seven hundred sixty-four thousand, three hundred fourteen".