2978041368960 has 1024 divisors, whose sum is σ = 12791955456000. Its totient is φ = 640028860416.

The previous prime is 2978041368959. The next prime is 2978041368977. The reversal of 2978041368960 is 698631408792.

2978041368960 is a `hidden beast` number, since 2 + 9 + 7 + 80 + 413 + 6 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164133649 + ... + 164151791.

It is an arithmetic number, because the mean of its divisors is an integer number (12492144000).

Almost surely, 2^{2978041368960} is an apocalyptic number.

2978041368960 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 2978041368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395977728000).

2978041368960 is an abundant number, since it is smaller than the sum of its proper divisors (9813914087040).

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

2978041368960 is a wasteful number, since it uses less digits than its factorization.

2978041368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18260 (or 18242 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 2978041368960 in words is "two trillion, nine hundred seventy-eight billion, forty-one million, three hundred sixty-eight thousand, nine hundred sixty".