2484342720 has 336 divisors, whose sum is σ = 9119859840. Its totient is φ = 618928128.

The previous prime is 2484342703. The next prime is 2484342727. The reversal of 2484342720 is 272434842.

2484342720 is a `hidden beast` number, since 248 + 4 + 342 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484342727) 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, 4541487 + ... + 4542033.

It is an arithmetic number, because the mean of its divisors is an integer number (27142440).

Almost surely, 2^2484342720 is an apocalyptic number.

2484342720 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 2484342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559929920).

2484342720 is an abundant number, since it is smaller than the sum of its proper divisors (6635517120).

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

2484342720 is a wasteful number, since it uses less digits than its factorization.

2484342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2484342720 is about 49843.1812788871. The cubic root of 2484342720 is about 1354.3695128254.

The spelling of 2484342720 in words is "two billion, four hundred eighty-four million, three hundred forty-two thousand, seven hundred twenty".