2034241212240 has 800 divisors, whose sum is σ = 7622512128000. Its totient is φ = 501180742656.

The previous prime is 2034241212131. The next prime is 2034241212299. The reversal of 2034241212240 is 422121424302.

It is a happy number.

2034241212240 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 2 + 412 + 1 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2424601741 + ... + 2424602579.

It is an arithmetic number, because the mean of its divisors is an integer number (9528140160).

Almost surely, 2^{2034241212240} is an apocalyptic number.

2034241212240 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 2034241212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811256064000).

2034241212240 is an abundant number, since it is smaller than the sum of its proper divisors (5588270915760).

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

2034241212240 is a wasteful number, since it uses less digits than its factorization.

2034241212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2034241212240 its reverse (422121424302), we get a palindrome (2456362636542).

The spelling of 2034241212240 in words is "two trillion, thirty-four billion, two hundred forty-one million, two hundred twelve thousand, two hundred forty".