2134414400 has 168 divisors, whose sum is σ = 5623925760. Its totient is φ = 794880000.

The previous prime is 2134414397. The next prime is 2134414411. The reversal of 2134414400 is 44144312.

It is a happy number.

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, 1853825 + ... + 1854975.

Almost surely, 2^2134414400 is an apocalyptic number.

2134414400 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 2134414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811962880).

2134414400 is an abundant number, since it is smaller than the sum of its proper divisors (3489511360).

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

2134414400 is a wasteful number, since it uses less digits than its factorization.

2134414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2134414400 is about 46199.7229428922. The cubic root of 2134414400 is about 1287.5365924184.

Adding to 2134414400 its reverse (44144312), we get a palindrome (2178558712).

The spelling of 2134414400 in words is "two billion, one hundred thirty-four million, four hundred fourteen thousand, four hundred".