2058656005440 has 560 divisors, whose sum is σ = 7593786224640. Its totient is φ = 528837672960.

The previous prime is 2058656005433. The next prime is 2058656005487. The reversal of 2058656005440 is 445006568502.

2058656005440 is a `hidden beast` number, since 2 + 0 + 5 + 86 + 560 + 0 + 5 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179179216 + ... + 179190704.

It is an arithmetic number, because the mean of its divisors is an integer number (13560332544).

Almost surely, 2^{2058656005440} is an apocalyptic number.

2058656005440 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 2058656005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796893112320).

2058656005440 is an abundant number, since it is smaller than the sum of its proper divisors (5535130219200).

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

2058656005440 is a wasteful number, since it uses less digits than its factorization.

2058656005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11772 (or 11753 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 2058656005440 in words is "two trillion, fifty-eight billion, six hundred fifty-six million, five thousand, four hundred forty".