2764120 has 32 divisors (see below), whose sum is σ = 6548400. Its totient is φ = 1047168.

The previous prime is 2764087. The next prime is 2764121. The reversal of 2764120 is 214672.

It is a junction number, because it is equal to n+sod(n) for n = 2764091 and 2764100.

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 7 ways as a sum of consecutive naturals, for example, 1059 + ... + 2578.

2^2764120 is an apocalyptic number.

2764120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2764120 is an abundant number, since it is smaller than the sum of its proper divisors (3784280).

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

2764120 is a wasteful number, since it uses less digits than its factorization.

2764120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2764120 is about 1662.5642844714. The cubic root of 2764120 is about 140.3413439395.

Adding to 2764120 its reverse (214672), we get a palindrome (2978792).

The spelling of 2764120 in words is "two million, seven hundred sixty-four thousand, one hundred twenty".