2034309700224 has 128 divisors (see below), whose sum is σ = 6035150035200. Its totient is φ = 674589523968.

The previous prime is 2034309700219. The next prime is 2034309700243. The reversal of 2034309700224 is 4220079034302.

It is a happy number.

2034309700224 is a `hidden beast` number, since 2 + 0 + 343 + 0 + 97 + 0 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

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 15 ways as a sum of consecutive naturals, for example, 857944 + ... + 2191959.

It is an arithmetic number, because the mean of its divisors is an integer number (47149609650).

Almost surely, 2^{2034309700224} is an apocalyptic number.

2034309700224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2034309700224 is an abundant number, since it is smaller than the sum of its proper divisors (4000840334976).

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

2034309700224 is a wasteful number, since it uses less digits than its factorization.

2034309700224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050119 (or 3050101 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 2034309700224 in words is "two trillion, thirty-four billion, three hundred nine million, seven hundred thousand, two hundred twenty-four".