2984509440 has 456 divisors, whose sum is σ = 11777583168. Its totient is φ = 692060160.

The previous prime is 2984509399. The next prime is 2984509441. The reversal of 2984509440 is 449054892.

2984509440 is a `hidden beast` number, since 29 + 84 + 509 + 4 + 40 = 666.

It is a super-2 number, since 2×2984509440² = 17814593194898227200, which contains 22 as substring.

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 (2984509441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129761269 + ... + 129761291.

Almost surely, 2^2984509440 is an apocalyptic number.

2984509440 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 2984509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888791584).

2984509440 is an abundant number, since it is smaller than the sum of its proper divisors (8793073728).

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

2984509440 is an equidigital number, since it uses as much as digits as its factorization.

2984509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2984509440 is about 54630.6639168883. The cubic root of 2984509440 is about 1439.7629239338.

The spelling of 2984509440 in words is "two billion, nine hundred eighty-four million, five hundred nine thousand, four hundred forty".