2765540 has 24 divisors (see below), whose sum is σ = 5919480. Its totient is φ = 1084928.

The previous prime is 2765531. The next prime is 2765551. The reversal of 2765540 is 455672.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 2292196 = 688^2 + 1514^2 .

It is a super-2 number, since 2×2765540² = 15296422983200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245 + ... + 2364.

It is an arithmetic number, because the mean of its divisors is an integer number (246645).

2^2765540 is an apocalyptic number.

2765540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2765540 is an abundant number, since it is smaller than the sum of its proper divisors (3153940).

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

2765540 is a wasteful number, since it uses less digits than its factorization.

2765540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 2765540 is about 1662.9912807949. The cubic root of 2765540 is about 140.3653721524.

Adding to 2765540 its sum of digits (29), we get a square (2765569 = 1663²).

The spelling of 2765540 in words is "two million, seven hundred sixty-five thousand, five hundred forty".