2058142005360 has 800 divisors, whose sum is σ = 8623434969600. Its totient is φ = 444426393600.

The previous prime is 2058142005343. The next prime is 2058142005397. The reversal of 2058142005360 is 635002418502.

2058142005360 is a `hidden beast` number, since 2 + 0 + 5 + 81 + 42 + 0 + 0 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 326634210 + ... + 326640510.

It is an arithmetic number, because the mean of its divisors is an integer number (10779293712).

Almost surely, 2^{2058142005360} is an apocalyptic number.

2058142005360 is a gapful number since it is divisible by the number (20) 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 2058142005360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311717484800).

2058142005360 is an abundant number, since it is smaller than the sum of its proper divisors (6565292964240).

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

2058142005360 is a wasteful number, since it uses less digits than its factorization.

2058142005360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2058142005360 in words is "two trillion, fifty-eight billion, one hundred forty-two million, five thousand, three hundred sixty".