2760084 has 36 divisors (see below), whose sum is σ = 7143136. Its totient is φ = 898128.

The previous prime is 2760077. The next prime is 2760097. The reversal of 2760084 is 4800672.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657 + ... + 2439.

2^2760084 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 2760084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571568).

2760084 is an abundant number, since it is smaller than the sum of its proper divisors (4383052).

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

2760084 is a wasteful number, since it uses less digits than its factorization.

2760084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2760084 is about 1661.3500534204. The cubic root of 2760084 is about 140.2730047006.

The spelling of 2760084 in words is "two million, seven hundred sixty thousand, eighty-four".