2058134400 has 768 divisors, whose sum is σ = 8924428800. Its totient is φ = 453427200.

The previous prime is 2058134387. The next prime is 2058134401. The reversal of 2058134400 is 44318502.

2058134400 is a `hidden beast` number, since 205 + 8 + 13 + 440 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058134401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24796759 + ... + 24796841.

It is an arithmetic number, because the mean of its divisors is an integer number (11620350).

Almost surely, 2^2058134400 is an apocalyptic number.

2058134400 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 2058134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462214400).

2058134400 is an abundant number, since it is smaller than the sum of its proper divisors (6866294400).

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

2058134400 is a wasteful number, since it uses less digits than its factorization.

2058134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

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

The square root of 2058134400 is about 45366.6661768308. Note that the first 3 decimals coincide. The cubic root of 2058134400 is about 1272.0121038364.

The spelling of 2058134400 in words is "two billion, fifty-eight million, one hundred thirty-four thousand, four hundred".