2135558880 has 576 divisors, whose sum is σ = 9202152960. Its totient is φ = 438939648.

The previous prime is 2135558857. The next prime is 2135558897. The reversal of 2135558880 is 888555312.

2135558880 is a `hidden beast` number, since 2 + 13 + 5 + 558 + 8 + 80 = 666.

It is a super-2 number, since 2×2135558880² = 9121223459893708800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5634531 + ... + 5634909.

It is an arithmetic number, because the mean of its divisors is an integer number (15975960).

Almost surely, 2^2135558880 is an apocalyptic number.

2135558880 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 2135558880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601076480).

2135558880 is an abundant number, since it is smaller than the sum of its proper divisors (7066594080).

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

2135558880 is a wasteful number, since it uses less digits than its factorization.

2135558880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 2135558880 is about 46212.1075044192. The cubic root of 2135558880 is about 1287.7666784132.

The spelling of 2135558880 in words is "two billion, one hundred thirty-five million, five hundred fifty-eight thousand, eight hundred eighty".