2058166880 has 384 divisors, whose sum is σ = 6646800384. Its totient is φ = 582451200.

The previous prime is 2058166879. The next prime is 2058166883. The reversal of 2058166880 is 886618502.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058166883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6492482 + ... + 6492798.

It is an arithmetic number, because the mean of its divisors is an integer number (17309376).

Almost surely, 2^2058166880 is an apocalyptic number.

2058166880 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 2058166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323400192).

2058166880 is an abundant number, since it is smaller than the sum of its proper divisors (4588633504).

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

2058166880 is a wasteful number, since it uses less digits than its factorization.

2058166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 2058166880 is about 45367.0241475017. The cubic root of 2058166880 is about 1272.0187951286.

The spelling of 2058166880 in words is "two billion, fifty-eight million, one hundred sixty-six thousand, eight hundred eighty".