2034513530240 has 128 divisors (see below), whose sum is σ = 4988951049600. Its totient is φ = 793009594368.

The previous prime is 2034513530239. The next prime is 2034513530249. The reversal of 2034513530240 is 420353154302.

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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 2034513530197 and 2034513530206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034513530249) 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, 6740642 + ... + 7035998.

It is an arithmetic number, because the mean of its divisors is an integer number (38976180075).

Almost surely, 2^{2034513530240} is an apocalyptic number.

2034513530240 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 2034513530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494475524800).

2034513530240 is an abundant number, since it is smaller than the sum of its proper divisors (2954437519360).

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

2034513530240 is a wasteful number, since it uses less digits than its factorization.

2034513530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295652 (or 295640 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 2034513530240 its reverse (420353154302), we get a palindrome (2454866684542).

The spelling of 2034513530240 in words is "two trillion, thirty-four billion, five hundred thirteen million, five hundred thirty thousand, two hundred forty".