2765040 has 80 divisors (see below), whose sum is σ = 8811936. Its totient is φ = 716800.

The previous prime is 2765039. The next prime is 2765053. The reversal of 2765040 is 405672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2765040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9700 + ... + 9980.

2^2765040 is an apocalyptic number.

2765040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405968).

2765040 is an abundant number, since it is smaller than the sum of its proper divisors (6046896).

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

2765040 is a wasteful number, since it uses less digits than its factorization.

2765040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2765040 is about 1662.8409424837. The cubic root of 2765040 is about 140.3569124525.

Multiplying 2765040 by its sum of digits (24), we get a triangular number (66360960 = T₁₁₅₂₀).

The spelling of 2765040 in words is "two million, seven hundred sixty-five thousand, forty".