2058217560 has 768 divisors, whose sum is σ = 8864640000. Its totient is φ = 421521408.

The previous prime is 2058217549. The next prime is 2058217597. The reversal of 2058217560 is 657128502.

It is a happy number.

2058217560 is a `hidden beast` number, since 2 + 0 + 5 + 82 + 17 + 560 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23125996 + ... + 23126084.

It is an arithmetic number, because the mean of its divisors is an integer number (11542500).

Almost surely, 2^2058217560 is an apocalyptic number.

2058217560 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 2058217560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432320000).

2058217560 is an abundant number, since it is smaller than the sum of its proper divisors (6806422440).

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

2058217560 is a wasteful number, since it uses less digits than its factorization.

2058217560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2058217560 is about 45367.5826995444. The cubic root of 2058217560 is about 1272.0292357111.

The spelling of 2058217560 in words is "two billion, fifty-eight million, two hundred seventeen thousand, five hundred sixty".