2134132400 has 120 divisors (see below), whose sum is σ = 5466168000. Its totient is φ = 797921280.

The previous prime is 2134132391. The next prime is 2134132423. The reversal of 2134132400 is 42314312.

It is a super-3 number, since 3×2134132400³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1066601 + ... + 1068599.

It is an arithmetic number, because the mean of its divisors is an integer number (45551400).

Almost surely, 2^2134132400 is an apocalyptic number.

2134132400 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 2134132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733084000).

2134132400 is an abundant number, since it is smaller than the sum of its proper divisors (3332035600).

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

2134132400 is a wasteful number, since it uses less digits than its factorization.

2134132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2134132400 is about 46196.6708757244. The cubic root of 2134132400 is about 1287.4798865743.

Adding to 2134132400 its reverse (42314312), we get a palindrome (2176446712).

The spelling of 2134132400 in words is "two billion, one hundred thirty-four million, one hundred thirty-two thousand, four hundred".