2764125 has 96 divisors (see below), whose sum is σ = 6359808. Its totient is φ = 1166400.

The previous prime is 2764123. The next prime is 2764127. The reversal of 2764125 is 5214672.

It is an interprime number because it is at equal distance from previous prime (2764123) and next prime (2764127).

It is not a de Polignac number, because 2764125 - 2¹ = 2764123 is a prime.

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

It is a d-powerful number, because it can be written as 2⁵ + 7 + 6⁸ + 4¹⁰ + 1 + 2¹⁵ + 5⁵ .

Its product of digits (3360) is a multiple of the sum of its prime divisors (28).

It is a Curzon number.

2764125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212619 + ... + 212631.

It is an arithmetic number, because the mean of its divisors is an integer number (66248).

2^2764125 is an apocalyptic number.

2764125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2764125 is an abundant number, since it is smaller than the sum of its proper divisors (3595683).

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

2764125 is an equidigital number, since it uses as much as digits as its factorization.

2764125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 28 counting only the distinct ones).

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

The square root of 2764125 is about 1662.5657881720. The cubic root of 2764125 is about 140.3414285603.

Adding to 2764125 its reverse (5214672), we get a palindrome (7978797).

The spelling of 2764125 in words is "two million, seven hundred sixty-four thousand, one hundred twenty-five".