2134234424400 has 240 divisors, whose sum is σ = 7750065839040. Its totient is φ = 497699942400.

The previous prime is 2134234424389. The next prime is 2134234424473. The reversal of 2134234424400 is 44244324312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3303861 + ... + 3896660.

It is an arithmetic number, because the mean of its divisors is an integer number (32291940996).

Almost surely, 2^{2134234424400} is an apocalyptic number.

2134234424400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134234424400 is an abundant number, since it is smaller than the sum of its proper divisors (5615831414640).

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

2134234424400 is a wasteful number, since it uses less digits than its factorization.

2134234424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7200574 (or 7200563 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2134234424400 its reverse (44244324312), we get a palindrome (2178478748712).

The spelling of 2134234424400 in words is "two trillion, one hundred thirty-four billion, two hundred thirty-four million, four hundred twenty-four thousand, four hundred".