2984960715360 has 1152 divisors, whose sum is σ = 10829128826880. Its totient is φ = 689818042368.

The previous prime is 2984960715353. The next prime is 2984960715383. The reversal of 2984960715360 is 635170694892.

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

It is a junction number, because it is equal to n+sod(n) for n = 2984960715294 and 2984960715303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23503627617 + ... + 23503627743.

It is an arithmetic number, because the mean of its divisors is an integer number (9400285440).

It is a 1-persistent number, because it is pandigital, but 2⋅2984960715360 = 5969921430720 is not.

Almost surely, 2^{2984960715360} is an apocalyptic number.

2984960715360 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 2984960715360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414564413440).

2984960715360 is an abundant number, since it is smaller than the sum of its proper divisors (7844168111520).

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

2984960715360 is a wasteful number, since it uses less digits than its factorization.

2984960715360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 2984960715360 in words is "two trillion, nine hundred eighty-four billion, nine hundred sixty million, seven hundred fifteen thousand, three hundred sixty".