2052958215168 has 792 divisors, whose sum is σ = 7257107098800. Its totient is φ = 556524896256.

The previous prime is 2052958215151. The next prime is 2052958215193. The reversal of 2052958215168 is 8615128592502.

2052958215168 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 9 + 582 + 1 + 51 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 772658896 + ... + 772661552.

Almost surely, 2^{2052958215168} is an apocalyptic number.

2052958215168 is a gapful number since it is divisible by the number (28) 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 2052958215168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628553549400).

2052958215168 is an abundant number, since it is smaller than the sum of its proper divisors (5204148883632).

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

2052958215168 is a wasteful number, since it uses less digits than its factorization.

2052958215168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 2052958215168 in words is "two trillion, fifty-two billion, nine hundred fifty-eight million, two hundred fifteen thousand, one hundred sixty-eight".