2134450400 has 36 divisors (see below), whose sum is σ = 5210728992. Its totient is φ = 853779840.

The previous prime is 2134450387. The next prime is 2134450459. The reversal of 2134450400 is 40544312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1333232 + ... + 1334831.

It is an arithmetic number, because the mean of its divisors is an integer number (144742472).

Almost surely, 2^2134450400 is an apocalyptic number.

2134450400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134450400 is an abundant number, since it is smaller than the sum of its proper divisors (3076278592).

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

2134450400 is a wasteful number, since it uses less digits than its factorization.

2134450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668083 (or 2668070 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2134450400 is about 46200.1125539755. The cubic root of 2134450400 is about 1287.5438311028.

Adding to 2134450400 its reverse (40544312), we get a palindrome (2174994712).

The spelling of 2134450400 in words is "two billion, one hundred thirty-four million, four hundred fifty thousand, four hundred".