2058432768 has 162 divisors, whose sum is σ = 6904322334. Its totient is φ = 588091392.

The previous prime is 2058432763. The next prime is 2058432797. The reversal of 2058432768 is 8672348502.

2058432768 is a `hidden beast` number, since 2 + 0 + 584 + 3 + 2 + 7 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1849688064 + 208744704 = 43008^2 + 14448^2 .

It is a super-2 number, since 2×2058432768² = 8474290920752283648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2058432763) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103780 + ... + 122012.

Almost surely, 2^2058432768 is an apocalyptic number.

2058432768 is a gapful number since it is divisible by the number (28) 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 2058432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452161167).

2058432768 is an abundant number, since it is smaller than the sum of its proper divisors (4845889566).

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

2058432768 is a wasteful number, since it uses less digits than its factorization.

2058432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18269 (or 18245 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2058432768 is about 45369.9544632789. The cubic root of 2058432768 is about 1272.0735687840.

The spelling of 2058432768 in words is "two billion, fifty-eight million, four hundred thirty-two thousand, seven hundred sixty-eight".