2984642555040 has 576 divisors, whose sum is σ = 10856966440320. Its totient is φ = 744054128640.

The previous prime is 2984642555033. The next prime is 2984642555047. The reversal of 2984642555040 is 405552464892.

2984642555040 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 6 + 42 + 5 + 550 + 40 = 666.

2984642555040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2984642555033) and next prime (2984642555047).

It is not an unprimeable number, because it can be changed into a prime (2984642555047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3073781755 + ... + 3073782725.

It is an arithmetic number, because the mean of its divisors is an integer number (18848900070).

Almost surely, 2^{2984642555040} is an apocalyptic number.

2984642555040 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 2984642555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428483220160).

2984642555040 is an abundant number, since it is smaller than the sum of its proper divisors (7872323885280).

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

2984642555040 is a wasteful number, since it uses less digits than its factorization.

2984642555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 2984642555040 in words is "two trillion, nine hundred eighty-four billion, six hundred forty-two million, five hundred fifty-five thousand, forty".