2954128407552 has 528 divisors, whose sum is σ = 9973377024000. Its totient is φ = 841842892800.

The previous prime is 2954128407551. The next prime is 2954128407617. The reversal of 2954128407552 is 2557048214592.

2954128407552 is a `hidden beast` number, since 2 + 9 + 5 + 4 + 1 + 2 + 84 + 0 + 7 + 552 = 666.

2954128407552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2954128407551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1514160177 + ... + 1514162127.

Almost surely, 2^{2954128407552} 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 2954128407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986688512000).

2954128407552 is an abundant number, since it is smaller than the sum of its proper divisors (7019248616448).

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

2954128407552 is a wasteful number, since it uses less digits than its factorization.

2954128407552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 2954128407552 in words is "two trillion, nine hundred fifty-four billion, one hundred twenty-eight million, four hundred seven thousand, five hundred fifty-two".