2058421478400 has 1485 divisors, whose sum is σ = 8741225800203. Its totient is φ = 462783283200.

The previous prime is 2058421478329. The next prime is 2058421478419. The reversal of 2058421478400 is 48741248502.

The square root of 2058421478400 is 1434720.

It is a perfect power (a square), and thus also a powerful number.

2058421478400 is a `hidden beast` number, since 2 + 0 + 584 + 21 + 4 + 7 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 948146217984 + 1110275260416 = 973728^2 + 1053696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 33744614370 + ... + 33744614430.

Almost surely, 2^{2058421478400} is an apocalyptic number.

2058421478400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2058421478400 is the 1434720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058421478400

2058421478400 is an abundant number, since it is smaller than the sum of its proper divisors (6682804321803).

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

2058421478400 is an frugal number, since it uses more digits than its factorization.

2058421478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 2058421478400 in words is "two trillion, fifty-eight billion, four hundred twenty-one million, four hundred seventy-eight thousand, four hundred".