2484960 has 96 divisors (see below), whose sum is σ = 8128512. Its totient is φ = 637440.

The previous prime is 2484959. The next prime is 2484961. The reversal of 2484960 is 694842.

2484960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2484959) and next prime (2484961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14797 + ... + 14963.

It is an arithmetic number, because the mean of its divisors is an integer number (84672).

2^2484960 is an apocalyptic number.

2484960 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 2484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256).

2484960 is an abundant number, since it is smaller than the sum of its proper divisors (5643552).

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

2484960 is a wasteful number, since it uses less digits than its factorization.

2484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2484960 is about 1576.3755897628. The cubic root of 2484960 is about 135.4481676091.

The spelling of 2484960 in words is "two million, four hundred eighty-four thousand, nine hundred sixty".