2357134224000 has 1024 divisors, whose sum is σ = 8485856870400. Its totient is φ = 576892108800.

The previous prime is 2357134223959. The next prime is 2357134224043. The reversal of 2357134224000 is 4224317532.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5443727784 + ... + 5443728216.

It is an arithmetic number, because the mean of its divisors is an integer number (8286969600).

Almost surely, 2^{2357134224000} is an apocalyptic number.

2357134224000 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 2357134224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242928435200).

2357134224000 is an abundant number, since it is smaller than the sum of its proper divisors (6128722646400).

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

2357134224000 is a wasteful number, since it uses less digits than its factorization.

2357134224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 2357134224000 in words is "two trillion, three hundred fifty-seven billion, one hundred thirty-four million, two hundred twenty-four thousand".