2134001224400 has 60 divisors (see below), whose sum is σ = 5131151879532. Its totient is φ = 852898897920.

The previous prime is 2134001224387. The next prime is 2134001224457. The reversal of 2134001224400 is 44221004312.

It can be written as a sum of positive squares in 6 ways, for example, as 410158270096 + 1723842954304 = 640436^2 + 1312952^2 .

It is a super-2 number, since 2×2134001224400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1705067 + ... + 2678666.

Almost surely, 2^{2134001224400} is an apocalyptic number.

2134001224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134001224400 is an abundant number, since it is smaller than the sum of its proper divisors (2997150655132).

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

2134001224400 is a wasteful number, since it uses less digits than its factorization.

2134001224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384968 (or 4384957 counting only the distinct ones).

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

Adding to 2134001224400 its reverse (44221004312), we get a palindrome (2178222228712).

The spelling of 2134001224400 in words is "two trillion, one hundred thirty-four billion, one million, two hundred twenty-four thousand, four hundred".