2786280 has 128 divisors (see below), whose sum is σ = 9953280. Its totient is φ = 610560.

The previous prime is 2786257. The next prime is 2786281. The reversal of 2786280 is 826872.

2786280 = T₃₉ + T₄₀ + ... + T₂₅₅.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2786281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25987 + ... + 26093.

It is an arithmetic number, because the mean of its divisors is an integer number (77760).

2^2786280 is an apocalyptic number.

2786280 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 2786280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976640).

2786280 is an abundant number, since it is smaller than the sum of its proper divisors (7167000).

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

2786280 is a wasteful number, since it uses less digits than its factorization.

2786280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2786280 is about 1669.2153845445. The cubic root of 2786280 is about 140.7153858432.

The spelling of 2786280 in words is "two million, seven hundred eighty-six thousand, two hundred eighty".