2484864 has 64 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 827136.

The previous prime is 2484863. The next prime is 2484871. The reversal of 2484864 is 4684842.

It is a tau number, because it is divible by the number of its divisors (64).

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

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 2¹³ + 4⁴ + 8⁵ + 4⁵ + 8⁷ + 6⁷ + 4⁸ .

It is not an unprimeable number, because it can be changed into a prime (2484863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3097 + ... + 3815.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

2^2484864 is an apocalyptic number.

2484864 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 2484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2484864 is an abundant number, since it is smaller than the sum of its proper divisors (4859136).

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

2484864 is an equidigital number, since it uses as much as digits as its factorization.

2484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 724 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2484864 is about 1576.3451398726. The cubic root of 2484864 is about 135.4464233569.

The spelling of 2484864 in words is "two million, four hundred eighty-four thousand, eight hundred sixty-four".