2785440 has 96 divisors (see below), whose sum is σ = 10039680. Its totient is φ = 635904.

The previous prime is 2785439. The next prime is 2785451. The reversal of 2785440 is 445872.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 2¹³ + 7⁷ + 8³ + 5⁹ + 4 + 4³ + 0 .

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 2785398 and 2785407.

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, 2946 + ... + 3774.

It is an arithmetic number, because the mean of its divisors is an integer number (104580).

2^2785440 is an apocalyptic number.

2785440 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 2785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019840).

2785440 is an abundant number, since it is smaller than the sum of its proper divisors (7254240).

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

2785440 is a wasteful number, since it uses less digits than its factorization.

2785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2785440 is about 1668.9637503553. The cubic root of 2785440 is about 140.7012435933.

The spelling of 2785440 in words is "two million, seven hundred eighty-five thousand, four hundred forty".