2034241004000 has 192 divisors, whose sum is σ = 5270548046400. Its totient is φ = 769499136000.

The previous prime is 2034241003969. The next prime is 2034241004017. The reversal of 2034241004000 is 4001424302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 43220480 + ... + 43267520.

It is an arithmetic number, because the mean of its divisors is an integer number (27450771075).

Almost surely, 2^{2034241004000} is an apocalyptic number.

2034241004000 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 2034241004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635274023200).

2034241004000 is an abundant number, since it is smaller than the sum of its proper divisors (3236307042400).

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

2034241004000 is a wasteful number, since it uses less digits than its factorization.

2034241004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47654 (or 47636 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2034241004000 its reverse (4001424302), we get a palindrome (2038242428302).

The spelling of 2034241004000 in words is "two trillion, thirty-four billion, two hundred forty-one million, four thousand".