2785980 has 48 divisors (see below), whose sum is σ = 7943040. Its totient is φ = 729408.

The previous prime is 2785973. The next prime is 2785987. The reversal of 2785980 is 895872.

2785980 is a nontrivial binomial coefficient, being equal to C(2361, 2).

It is an interprime number because it is at equal distance from previous prime (2785973) and next prime (2785987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2785987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3147 + ... + 3933.

It is an arithmetic number, because the mean of its divisors is an integer number (165480).

2^2785980 is an apocalyptic number.

2785980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2785980 is the 2360-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2785980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971520).

2785980 is an abundant number, since it is smaller than the sum of its proper divisors (5157060).

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

2785980 is a wasteful number, since it uses less digits than its factorization.

2785980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 2785980 is about 1669.1255195461. The cubic root of 2785980 is about 140.7103353660.

The spelling of 2785980 in words is "two million, seven hundred eighty-five thousand, nine hundred eighty".