2058954768 has 160 divisors (see below), whose sum is σ = 6385841280. Its totient is φ = 631411200.

The previous prime is 2058954727. The next prime is 2058954787. The reversal of 2058954768 is 8674598502.

2058954768 is a `hidden beast` number, since 2 + 0 + 589 + 54 + 7 + 6 + 8 = 666.

It is a super-3 number, since 3×2058954768³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2936818 + ... + 2937518.

It is an arithmetic number, because the mean of its divisors is an integer number (39911508).

Almost surely, 2^2058954768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058954768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192920640).

2058954768 is an abundant number, since it is smaller than the sum of its proper divisors (4326886512).

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

2058954768 is a wasteful number, since it uses less digits than its factorization.

2058954768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1242 counting only the distinct ones).

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

The square root of 2058954768 is about 45375.7068044124. The cubic root of 2058954768 is about 1272.1810884936.

It can be divided in two parts, 20589 and 54768, that added together give a palindrome (75357).

The spelling of 2058954768 in words is "two billion, fifty-eight million, nine hundred fifty-four thousand, seven hundred sixty-eight".