2984434995240 has 384 divisors, whose sum is σ = 10850179392000. Its totient is φ = 707816546304.

The previous prime is 2984434995209. The next prime is 2984434995263. The reversal of 2984434995240 is 425994344892.

2984434995240 is a `hidden beast` number, since 2 + 9 + 8 + 44 + 349 + 9 + 5 + 240 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8162671 + ... + 8520449.

It is an arithmetic number, because the mean of its divisors is an integer number (28255675500).

Almost surely, 2^{2984434995240} is an apocalyptic number.

2984434995240 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 2984434995240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425089696000).

2984434995240 is an abundant number, since it is smaller than the sum of its proper divisors (7865744396760).

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

2984434995240 is a wasteful number, since it uses less digits than its factorization.

2984434995240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357889 (or 357882 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 2984434995240 in words is "two trillion, nine hundred eighty-four billion, four hundred thirty-four million, nine hundred ninety-five thousand, two hundred forty".