2058340338720 has 240 divisors, whose sum is σ = 7267160799360. Its totient is φ = 548669016576.

The previous prime is 2058340338689. The next prime is 2058340338737. The reversal of 2058340338720 is 278330438502.

2058340338720 is a `hidden beast` number, since 2 + 0 + 583 + 40 + 3 + 3 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33393049 + ... + 33454631.

It is an arithmetic number, because the mean of its divisors is an integer number (30279836664).

Almost surely, 2^{2058340338720} is an apocalyptic number.

2058340338720 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 2058340338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633580399680).

2058340338720 is an abundant number, since it is smaller than the sum of its proper divisors (5208820460640).

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

2058340338720 is a wasteful number, since it uses less digits than its factorization.

2058340338720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64189 (or 64172 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2058340338720 in words is "two trillion, fifty-eight billion, three hundred forty million, three hundred thirty-eight thousand, seven hundred twenty".