2158430400 has 1008 divisors, whose sum is σ = 9826752000. Its totient is φ = 447068160.

The previous prime is 2158430389. The next prime is 2158430401. The reversal of 2158430400 is 40348512.

2158430400 is a `hidden beast` number, since 215 + 8 + 43 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (2158430401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93844789 + ... + 93844811.

Almost surely, 2^2158430400 is an apocalyptic number.

2158430400 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 2158430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913376000).

2158430400 is an abundant number, since it is smaller than the sum of its proper divisors (7668321600).

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

2158430400 is a wasteful number, since it uses less digits than its factorization.

2158430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

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

The square root of 2158430400 is about 46458.9108783234. The cubic root of 2158430400 is about 1292.3476269711.

Adding to 2158430400 its reverse (40348512), we get a palindrome (2198778912).

It can be divided in two parts, 21584 and 30400, that added together give a square (51984 = 228²).

The spelling of 2158430400 in words is "two billion, one hundred fifty-eight million, four hundred thirty thousand, four hundred".