2958205725216 has 576 divisors, whose sum is σ = 10308759552000. Its totient is φ = 816595706880.

The previous prime is 2958205725193. The next prime is 2958205725259. The reversal of 2958205725216 is 6125275028592.

2958205725216 is a `hidden beast` number, since 2 + 9 + 5 + 8 + 2 + 0 + 572 + 52 + 16 = 666.

It is a super-2 number, since 2×2958205725216² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1479841785 + ... + 1479843783.

It is an arithmetic number, because the mean of its divisors is an integer number (17897152000).

Almost surely, 2^{2958205725216} 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 2958205725216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154379776000).

2958205725216 is an abundant number, since it is smaller than the sum of its proper divisors (7350553826784).

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

2958205725216 is a wasteful number, since it uses less digits than its factorization.

2958205725216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 2958205725216 in words is "two trillion, nine hundred fifty-eight billion, two hundred five million, seven hundred twenty-five thousand, two hundred sixteen".