2973578554968 has 192 divisors, whose sum is σ = 9142557408000. Its totient is φ = 801362274048.

The previous prime is 2973578554957. The next prime is 2973578555041. The reversal of 2973578554968 is 8694558753792.

It is a junction number, because it is equal to n+sod(n) for n = 2973578554893 and 2973578554902.

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 47 ways as a sum of consecutive naturals, for example, 4826205 + ... + 5407347.

It is an arithmetic number, because the mean of its divisors is an integer number (47617486500).

Almost surely, 2^{2973578554968} is an apocalyptic number.

2973578554968 is a gapful number since it is divisible by the number (28) 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 2973578554968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571278704000).

2973578554968 is an abundant number, since it is smaller than the sum of its proper divisors (6168978853032).

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

2973578554968 is a wasteful number, since it uses less digits than its factorization.

2973578554968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581414 (or 581403 counting only the distinct ones).

The product of its digits is 4572288000, while the sum is 78.

The spelling of 2973578554968 in words is "two trillion, nine hundred seventy-three billion, five hundred seventy-eight million, five hundred fifty-four thousand, nine hundred sixty-eight".