2034761449600 has 384 divisors, whose sum is σ = 5632225228800. Its totient is φ = 720019968000.

The previous prime is 2034761449579. The next prime is 2034761449607. The reversal of 2034761449600 is 69441674302.

It is not an unprimeable number, because it can be changed into a prime (2034761449607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296134165 + ... + 296141035.

It is an arithmetic number, because the mean of its divisors is an integer number (14667253200).

Almost surely, 2^{2034761449600} is an apocalyptic number.

2034761449600 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 2034761449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816112614400).

2034761449600 is an abundant number, since it is smaller than the sum of its proper divisors (3597463779200).

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

2034761449600 is a wasteful number, since it uses less digits than its factorization.

2034761449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 2034761449600 in words is "two trillion, thirty-four billion, seven hundred sixty-one million, four hundred forty-nine thousand, six hundred".