2135217438720 has 1024 divisors, whose sum is σ = 7893140256000. Its totient is φ = 554198630400.

The previous prime is 2135217438713. The next prime is 2135217438721. The reversal of 2135217438720 is 278347125312.

2135217438720 is a `hidden beast` number, since 2 + 1 + 3 + 521 + 7 + 43 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×2135217438720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2135217438721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21140766670 + ... + 21140766770.

Almost surely, 2^{2135217438720} is an apocalyptic number.

2135217438720 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 2135217438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946570128000).

2135217438720 is an abundant number, since it is smaller than the sum of its proper divisors (5757922817280).

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

2135217438720 is an frugal number, since it uses more digits than its factorization.

2135217438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2135217438720 in words is "two trillion, one hundred thirty-five billion, two hundred seventeen million, four hundred thirty-eight thousand, seven hundred twenty".