2058216048 has 160 divisors (see below), whose sum is σ = 6815992320. Its totient is φ = 582474240.

The previous prime is 2058216029. The next prime is 2058216053. The reversal of 2058216048 is 8406128502.

2058216048 is a `hidden beast` number, since 20 + 5 + 8 + 21 + 604 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320388 + ... + 326748.

It is an arithmetic number, because the mean of its divisors is an integer number (42599952).

Almost surely, 2^2058216048 is an apocalyptic number.

2058216048 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 2058216048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407996160).

2058216048 is an abundant number, since it is smaller than the sum of its proper divisors (4757776272).

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

2058216048 is a wasteful number, since it uses less digits than its factorization.

2058216048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2058216048 is about 45367.5660356603. The cubic root of 2058216048 is about 1272.0289242266.

The spelling of 2058216048 in words is "two billion, fifty-eight million, two hundred sixteen thousand, forty-eight".