2058893760 has 672 divisors, whose sum is σ = 8706258432. Its totient is φ = 406855680.

The previous prime is 2058893747. The next prime is 2058893791. The reversal of 2058893760 is 673988502.

2058893760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11901034 + ... + 11901206.

Almost surely, 2^2058893760 is an apocalyptic number.

2058893760 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 2058893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353129216).

2058893760 is an abundant number, since it is smaller than the sum of its proper divisors (6647364672).

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

2058893760 is a wasteful number, since it uses less digits than its factorization.

2058893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2058893760 is about 45375.0345454414. The cubic root of 2058893760 is about 1272.1685232200.

The spelling of 2058893760 in words is "two billion, fifty-eight million, eight hundred ninety-three thousand, seven hundred sixty".