2134321643520 has 1620 divisors, whose sum is σ = 8845724009304. Its totient is φ = 490179133440.

The previous prime is 2134321643513. The next prime is 2134321643521. The reversal of 2134321643520 is 253461234312.

2134321643520 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 3 + 2 + 1 + 643 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134321643521) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 112332718071 + ... + 112332718089.

Almost surely, 2^{2134321643520} is an apocalyptic number.

2134321643520 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 2134321643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422862004652).

2134321643520 is an abundant number, since it is smaller than the sum of its proper divisors (6711402365784).

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

2134321643520 is an frugal number, since it uses more digits than its factorization.

2134321643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 2134321643520 its reverse (253461234312), we get a palindrome (2387782877832).

The spelling of 2134321643520 in words is "two trillion, one hundred thirty-four billion, three hundred twenty-one million, six hundred forty-three thousand, five hundred twenty".