2144134400 has 54 divisors (see below), whose sum is σ = 5307083502. Its totient is φ = 857651200.

The previous prime is 2144134397. The next prime is 2144134411. The reversal of 2144134400 is 44314412.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 73984 + 2144060416 = 272^2 + 46304^2 .

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, 161111 + ... + 173910.

Almost surely, 2^2144134400 is an apocalyptic number.

2144134400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144134400 is an abundant number, since it is smaller than the sum of its proper divisors (3162949102).

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

2144134400 is an equidigital number, since it uses as much as digits as its factorization.

2144134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335047 (or 335028 counting only the distinct ones).

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

The square root of 2144134400 is about 46304.7988873724. The cubic root of 2144134400 is about 1289.4880888546.

Adding to 2144134400 its reverse (44314412), we get a palindrome (2188448812).

The spelling of 2144134400 in words is "two billion, one hundred forty-four million, one hundred thirty-four thousand, four hundred".