2972378673000 has 1344 divisors, whose sum is σ = 11843131023360. Its totient is φ = 696690720000.

The previous prime is 2972378672993. The next prime is 2972378673023. The reversal of 2972378673000 is 3768732792.

2972378673000 is a `hidden beast` number, since 29 + 7 + 237 + 86 + 7 + 300 + 0 = 666.

2972378673000 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 335 ways as a sum of consecutive naturals, for example, 2734478457 + ... + 2734479543.

It is an arithmetic number, because the mean of its divisors is an integer number (8811853440).

Almost surely, 2^{2972378673000} is an apocalyptic number.

2972378673000 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 2972378673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921565511680).

2972378673000 is an abundant number, since it is smaller than the sum of its proper divisors (8870752350360).

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

2972378673000 is a wasteful number, since it uses less digits than its factorization.

2972378673000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 2972378673000 in words is "two trillion, nine hundred seventy-two billion, three hundred seventy-eight million, six hundred seventy-three thousand".