2134322400 has 216 divisors, whose sum is σ = 8081904600. Its totient is φ = 487818240.

The previous prime is 2134322387. The next prime is 2134322429. The reversal of 2134322400 is 42234312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108526 + ... + 126674.

It is an arithmetic number, because the mean of its divisors is an integer number (37416225).

Almost surely, 2^2134322400 is an apocalyptic number.

2134322400 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 2134322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040952300).

2134322400 is an abundant number, since it is smaller than the sum of its proper divisors (5947582200).

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

2134322400 is a wasteful number, since it uses less digits than its factorization.

2134322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18186 (or 18166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2134322400 is about 46198.7272551961. The cubic root of 2134322400 is about 1287.5180931884.

Adding to 2134322400 its reverse (42234312), we get a palindrome (2176556712).

The spelling of 2134322400 in words is "two billion, one hundred thirty-four million, three hundred twenty-two thousand, four hundred".