2984263578240 has 512 divisors, whose sum is σ = 11280985620480. Its totient is φ = 656640000000.

The previous prime is 2984263578229. The next prime is 2984263578253. The reversal of 2984263578240 is 428753624892.

2984263578240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79559490 + ... + 79596990.

It is an arithmetic number, because the mean of its divisors is an integer number (22033175040).

Almost surely, 2^{2984263578240} is an apocalyptic number.

2984263578240 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 2984263578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640492810240).

2984263578240 is an abundant number, since it is smaller than the sum of its proper divisors (8296722042240).

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

2984263578240 is a wasteful number, since it uses less digits than its factorization.

2984263578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37752 (or 37740 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 2984263578240 in words is "two trillion, nine hundred eighty-four billion, two hundred sixty-three million, five hundred seventy-eight thousand, two hundred forty".