2058784680960 has 704 divisors, whose sum is σ = 8373297715200. Its totient is φ = 469931065344.

The previous prime is 2058784680947. The next prime is 2058784681067. The reversal of 2058784680960 is 690864878502.

2058784680960 is a `hidden beast` number, since 2 + 0 + 5 + 87 + 8 + 468 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1276369114 + ... + 1276370726.

It is an arithmetic number, because the mean of its divisors is an integer number (11893888800).

Almost surely, 2^{2058784680960} is an apocalyptic number.

2058784680960 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 2058784680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186648857600).

2058784680960 is an abundant number, since it is smaller than the sum of its proper divisors (6314513034240).

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

2058784680960 is a wasteful number, since it uses less digits than its factorization.

2058784680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2058784680960 in words is "two trillion, fifty-eight billion, seven hundred eighty-four million, six hundred eighty thousand, nine hundred sixty".