2058053682048 has 768 divisors, whose sum is σ = 7039647014400. Its totient is φ = 527746351104.

The previous prime is 2058053681993. The next prime is 2058053682071. The reversal of 2058053682048 is 8402863508502.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 4091557765 + ... + 4091558267.

It is an arithmetic number, because the mean of its divisors is an integer number (9166207050).

Almost surely, 2^{2058053682048} is an apocalyptic number.

2058053682048 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 2058053682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519823507200).

2058053682048 is an abundant number, since it is smaller than the sum of its proper divisors (4981593332352).

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

2058053682048 is a wasteful number, since it uses less digits than its factorization.

2058053682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 2058053682048 in words is "two trillion, fifty-eight billion, fifty-three million, six hundred eighty-two thousand, forty-eight".