2842464 has 48 divisors (see below), whose sum is σ = 7726320. Its totient is φ = 913920.

The previous prime is 2842459. The next prime is 2842487. The reversal of 2842464 is 4642482.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁷ + 8⁷ + 4⁴ + 2¹⁹ + 4⁷ + 6⁵ + 4⁸ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2274 + ... + 3294.

It is an arithmetic number, because the mean of its divisors is an integer number (160965).

2^2842464 is an apocalyptic number.

2842464 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 2842464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863160).

2842464 is an abundant number, since it is smaller than the sum of its proper divisors (4883856).

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

2842464 is a wasteful number, since it uses less digits than its factorization.

2842464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1055 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 2842464 is about 1685.9608536381. The cubic root of 2842464 is about 141.6549182107.

The spelling of 2842464 in words is "two million, eight hundred forty-two thousand, four hundred sixty-four".