2135564282880 has 704 divisors, whose sum is σ = 8722774656000. Its totient is φ = 485362630656.

The previous prime is 2135564282837. The next prime is 2135564282881. The reversal of 2135564282880 is 882824655312.

2135564282880 is a `hidden beast` number, since 2 + 1 + 3 + 556 + 4 + 2 + 8 + 2 + 8 + 80 = 666.

It is a super-2 number, since 2×2135564282880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2135564282881) 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, 173208556 + ... + 173220884.

Almost surely, 2^{2135564282880} is an apocalyptic number.

2135564282880 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 2135564282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361387328000).

2135564282880 is an abundant number, since it is smaller than the sum of its proper divisors (6587210373120).

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

2135564282880 is a wasteful number, since it uses less digits than its factorization.

2135564282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12549 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 2135564282880 in words is "two trillion, one hundred thirty-five billion, five hundred sixty-four million, two hundred eighty-two thousand, eight hundred eighty".