2078784 has 70 divisors (see below), whose sum is σ = 6177534. Its totient is φ = 691200.

The previous prime is 2078779. The next prime is 2078789. The reversal of 2078784 is 4878702.

It is an interprime number because it is at equal distance from previous prime (2078779) and next prime (2078789).

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 5184 = 1440^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2078789) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4984 + ... + 5384.

2^2078784 is an apocalyptic number.

2078784 is a gapful number since it is divisible by the number (24) 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 2078784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088767).

2078784 is an abundant number, since it is smaller than the sum of its proper divisors (4098750).

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

2078784 is an equidigital number, since it uses as much as digits as its factorization.

2078784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2078784 is about 1441.7988764041. The cubic root of 2078784 is about 127.6252057267.

The spelling of 2078784 in words is "two million, seventy-eight thousand, seven hundred eighty-four".