2058078274560 has 3168 divisors, whose sum is σ = 9772809016320. Its totient is φ = 413857382400.

The previous prime is 2058078274547. The next prime is 2058078274597. The reversal of 2058078274560 is 654728708502.

2058078274560 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 0 + 7 + 8 + 2 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2058078274497 and 2058078274506.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 66389621745 + ... + 66389621775.

Almost surely, 2^{2058078274560} is an apocalyptic number.

2058078274560 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 2058078274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886404508160).

2058078274560 is an abundant number, since it is smaller than the sum of its proper divisors (7714730741760).

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

2058078274560 is an equidigital number, since it uses as much as digits as its factorization.

2058078274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 2058078274560 in words is "two trillion, fifty-eight billion, seventy-eight million, two hundred seventy-four thousand, five hundred sixty".