2785960 has 48 divisors (see below), whose sum is σ = 6686460. Its totient is φ = 1044480.

The previous prime is 2785907. The next prime is 2785961. The reversal of 2785960 is 695872.

It can be written as a sum of positive squares in 6 ways, for example, as 2304324 + 481636 = 1518^2 + 694^2 .

It is not an unprimeable number, because it can be changed into a prime (2785961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11440 + ... + 11680.

2^2785960 is an apocalyptic number.

2785960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2785960 is the 964-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2785960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343230).

2785960 is an abundant number, since it is smaller than the sum of its proper divisors (3900500).

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

2785960 is a wasteful number, since it uses less digits than its factorization.

2785960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2785960 is about 1669.1195283742. The cubic root of 2785960 is about 140.7099986546.

The spelling of 2785960 in words is "two million, seven hundred eighty-five thousand, nine hundred sixty".