2764152 has 64 divisors (see below), whose sum is σ = 7833600. Its totient is φ = 902880.

The previous prime is 2764147. The next prime is 2764171. The reversal of 2764152 is 2514672.

2764152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 14377 + ... + 14567.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

2^2764152 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 2764152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916800).

2764152 is an abundant number, since it is smaller than the sum of its proper divisors (5069448).

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

2764152 is a wasteful number, since it uses less digits than its factorization.

2764152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2764152 is about 1662.5739081316. The cubic root of 2764152 is about 140.3418855109.

It can be divided in two parts, 2764 and 152, that added together give a square (2916 = 54²).

The spelling of 2764152 in words is "two million, seven hundred sixty-four thousand, one hundred fifty-two".