2034034411200 has 336 divisors, whose sum is σ = 7317750907776. Its totient is φ = 490541875200.

The previous prime is 2034034411141. The next prime is 2034034411303. The reversal of 2034034411200 is 21144304302.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 10090599 + ... + 10290201.

Almost surely, 2^{2034034411200} is an apocalyptic number.

2034034411200 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 2034034411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658875453888).

2034034411200 is an abundant number, since it is smaller than the sum of its proper divisors (5283716496576).

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

2034034411200 is a wasteful number, since it uses less digits than its factorization.

2034034411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199832 (or 199817 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2034034411200 its reverse (21144304302), we get a palindrome (2055178715502).

The spelling of 2034034411200 in words is "two trillion, thirty-four billion, thirty-four million, four hundred eleven thousand, two hundred".