2954216415072 has 192 divisors, whose sum is σ = 8631233372160. Its totient is φ = 878596761600.

The previous prime is 2954216415053. The next prime is 2954216415083. The reversal of 2954216415072 is 2705146124592.

It is a happy number.

2954216415072 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32026297 + ... + 32118407.

It is an arithmetic number, because the mean of its divisors is an integer number (44954340480).

Almost surely, 2^{2954216415072} 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 2954216415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315616686080).

2954216415072 is an abundant number, since it is smaller than the sum of its proper divisors (5677016957088).

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

2954216415072 is a wasteful number, since it uses less digits than its factorization.

2954216415072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92997 (or 92989 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 2954216415072 in words is "two trillion, nine hundred fifty-four billion, two hundred sixteen million, four hundred fifteen thousand, seventy-two".