2952982720800 has 2880 divisors, whose sum is σ = 13587127868160. Its totient is φ = 609140736000.

The previous prime is 2952982720783. The next prime is 2952982720811. The reversal of 2952982720800 is 80272892592.

2952982720800 is a `hidden beast` number, since 2 + 9 + 5 + 298 + 272 + 0 + 80 + 0 = 666.

2952982720800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21554618332 + ... + 21554618468.

It is an arithmetic number, because the mean of its divisors is an integer number (4717752732).

Almost surely, 2^{2952982720800} is an apocalyptic number.

2952982720800 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 2952982720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793563934080).

2952982720800 is an abundant number, since it is smaller than the sum of its proper divisors (10634145147360).

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

2952982720800 is a wasteful number, since it uses less digits than its factorization.

2952982720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2952982720800 in words is "two trillion, nine hundred fifty-two billion, nine hundred eighty-two million, seven hundred twenty thousand, eight hundred".