2134335250224 has 200 divisors, whose sum is σ = 6208606707072. Its totient is φ = 707854878720.

The previous prime is 2134335250217. The next prime is 2134335250249. The reversal of 2134335250224 is 4220525334312.

2134335250224 is a `hidden beast` number, since 2 + 1 + 34 + 3 + 352 + 50 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 453821857 + ... + 453826559.

Almost surely, 2^{2134335250224} is an apocalyptic number.

2134335250224 is a gapful number since it is divisible by the number (24) 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 2134335250224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104303353536).

2134335250224 is an abundant number, since it is smaller than the sum of its proper divisors (4074271456848).

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

2134335250224 is a wasteful number, since it uses less digits than its factorization.

2134335250224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 2134335250224 in words is "two trillion, one hundred thirty-four billion, three hundred thirty-five million, two hundred fifty thousand, two hundred twenty-four".