2034333213440 has 144 divisors (see below), whose sum is σ = 5316736422816. Its totient is φ = 739634380800.

The previous prime is 2034333213331. The next prime is 2034333213443. The reversal of 2034333213440 is 443123334302.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2034333213397 and 2034333213406.

It is not an unprimeable number, because it can be changed into a prime (2034333213443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163617464 + ... + 163629896.

It is an arithmetic number, because the mean of its divisors is an integer number (36921780714).

Almost surely, 2^{2034333213440} is an apocalyptic number.

2034333213440 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 2034333213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658368211408).

2034333213440 is an abundant number, since it is smaller than the sum of its proper divisors (3282403209376).

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

2034333213440 is a wasteful number, since it uses less digits than its factorization.

2034333213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24086 (or 24072 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 2034333213440 its reverse (443123334302), we get a palindrome (2477456547742).

The spelling of 2034333213440 in words is "two trillion, thirty-four billion, three hundred thirty-three million, two hundred thirteen thousand, four hundred forty".