2058064200 has 576 divisors, whose sum is σ = 7896994560. Its totient is φ = 496005120.

The previous prime is 2058064193. The next prime is 2058064231. The reversal of 2058064200 is 24608502.

2058064200 is a `hidden beast` number, since 2 + 0 + 580 + 64 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38831374 + ... + 38831426.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2^2058064200 is an apocalyptic number.

2058064200 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 2058064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948497280).

2058064200 is an abundant number, since it is smaller than the sum of its proper divisors (5838930360).

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

2058064200 is a wasteful number, since it uses less digits than its factorization.

2058064200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2058064200 is about 45365.8924744130. The cubic root of 2058064200 is about 1271.9976415051.

The spelling of 2058064200 in words is "two billion, fifty-eight million, sixty-four thousand, two hundred".