2134242314240 has 192 divisors, whose sum is σ = 5319857088000. Its totient is φ = 820783022080.

The previous prime is 2134242314209. The next prime is 2134242314251. The reversal of 2134242314240 is 424132424312.

It is a happy number.

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 = 2134242314197 and 2134242314206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70958405 + ... + 70988475.

It is an arithmetic number, because the mean of its divisors is an integer number (27707589000).

Almost surely, 2^{2134242314240} is an apocalyptic number.

2134242314240 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 2134242314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659928544000).

2134242314240 is an abundant number, since it is smaller than the sum of its proper divisors (3185614773760).

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

2134242314240 is a wasteful number, since it uses less digits than its factorization.

2134242314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30366 (or 30346 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2134242314240 its reverse (424132424312), we get a palindrome (2558374738552).

The spelling of 2134242314240 in words is "two trillion, one hundred thirty-four billion, two hundred forty-two million, three hundred fourteen thousand, two hundred forty".