2978473752576 has 864 divisors, whose sum is σ = 10538138257920. Its totient is φ = 837831278592.

The previous prime is 2978473752547. The next prime is 2978473752577. The reversal of 2978473752576 is 6752573748792.

2978473752576 is a `hidden beast` number, since 2 + 9 + 7 + 8 + 47 + 3 + 7 + 5 + 2 + 576 = 666.

2978473752576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978473752577) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1633830001 + ... + 1633831823.

It is an arithmetic number, because the mean of its divisors is an integer number (12196919280).

Almost surely, 2^{2978473752576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2978473752576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269069128960).

2978473752576 is an abundant number, since it is smaller than the sum of its proper divisors (7559664505344).

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

2978473752576 is an equidigital number, since it uses as much as digits as its factorization.

2978473752576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1902 counting only the distinct ones).

The product of its digits is 1244678400, while the sum is 72.

The spelling of 2978473752576 in words is "two trillion, nine hundred seventy-eight billion, four hundred seventy-three million, seven hundred fifty-two thousand, five hundred seventy-six".