2984454720 has 560 divisors, whose sum is σ = 12128619888. Its totient is φ = 690094080.

The previous prime is 2984454713. The next prime is 2984454727. The reversal of 2984454720 is 274544892.

2984454720 is a `hidden beast` number, since 2 + 9 + 84 + 4 + 547 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2984454713) and next prime (2984454727).

It can be written as a sum of positive squares in 8 ways, for example, as 153363456 + 2831091264 = 12384^2 + 53208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2984454727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5728060 + ... + 5728580.

Almost surely, 2^2984454720 is an apocalyptic number.

2984454720 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 2984454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064309944).

2984454720 is an abundant number, since it is smaller than the sum of its proper divisors (9144165168).

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

2984454720 is a wasteful number, since it uses less digits than its factorization.

2984454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2984454720 is about 54630.1630969559. The cubic root of 2984454720 is about 1439.7541246866.

The spelling of 2984454720 in words is "two billion, nine hundred eighty-four million, four hundred fifty-four thousand, seven hundred twenty".