2827440 has 320 divisors, whose sum is σ = 12856320. Its totient is φ = 552960.

The previous prime is 2827439. The next prime is 2827469. The reversal of 2827440 is 447282.

2827440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166312 + ... + 166328.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2^2827440 is an apocalyptic number.

2827440 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 2827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

2827440 is an abundant number, since it is smaller than the sum of its proper divisors (10028880).

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

2827440 is a wasteful number, since it uses less digits than its factorization.

2827440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2827440 is about 1681.4993309544. The cubic root of 2827440 is about 141.4049022439.

The spelling of 2827440 in words is "two million, eight hundred twenty-seven thousand, four hundred forty".