2058765100 has 144 divisors (see below), whose sum is σ = 5426527680. Its totient is φ = 662860800.

The previous prime is 2058765097. The next prime is 2058765119. The reversal of 2058765100 is 15678502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 749730 + ... + 752470.

It is an arithmetic number, because the mean of its divisors is an integer number (37684220).

Almost surely, 2^2058765100 is an apocalyptic number.

2058765100 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 2058765100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713263840).

2058765100 is an abundant number, since it is smaller than the sum of its proper divisors (3367762580).

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

2058765100 is a wasteful number, since it uses less digits than its factorization.

2058765100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 2058765100 is about 45373.6167833246. The cubic root of 2058765100 is about 1272.1420234534.

The spelling of 2058765100 in words is "two billion, fifty-eight million, seven hundred sixty-five thousand, one hundred".