2058495768 has 192 divisors, whose sum is σ = 6895848960. Its totient is φ = 562484736.

The previous prime is 2058495743. The next prime is 2058495787. The reversal of 2058495768 is 8675948502.

2058495768 is a `hidden beast` number, since 2 + 0 + 584 + 9 + 57 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 309696 + ... + 316272.

It is an arithmetic number, because the mean of its divisors is an integer number (35915880).

Almost surely, 2^2058495768 is an apocalyptic number.

2058495768 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 2058495768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447924480).

2058495768 is an abundant number, since it is smaller than the sum of its proper divisors (4837353192).

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

2058495768 is a wasteful number, since it uses less digits than its factorization.

2058495768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 2058495768 is about 45370.6487500454. The cubic root of 2058495768 is about 1272.0865462651.

The spelling of 2058495768 in words is "two billion, fifty-eight million, four hundred ninety-five thousand, seven hundred sixty-eight".