2484894720 has 528 divisors, whose sum is σ = 10036260864. Its totient is φ = 513638400.

The previous prime is 2484894701. The next prime is 2484894721. The reversal of 2484894720 is 274984842.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2484894720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484894721) 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 47 ways as a sum of consecutive naturals, for example, 13009825 + ... + 13010015.

Almost surely, 2^2484894720 is an apocalyptic number.

2484894720 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 2484894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018130432).

2484894720 is an abundant number, since it is smaller than the sum of its proper divisors (7551366144).

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

2484894720 is a wasteful number, since it uses less digits than its factorization.

2484894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 2484894720 is about 49848.7183385892. The cubic root of 2484894720 is about 1354.4698152248.

The spelling of 2484894720 in words is "two billion, four hundred eighty-four million, eight hundred ninety-four thousand, seven hundred twenty".