2135210880 has 512 divisors, whose sum is σ = 8301657600. Its totient is φ = 460062720.

The previous prime is 2135210879. The next prime is 2135210923. The reversal of 2135210880 is 880125312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6821604 + ... + 6821916.

It is an arithmetic number, because the mean of its divisors is an integer number (16214175).

Almost surely, 2^2135210880 is an apocalyptic number.

2135210880 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 2135210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150828800).

2135210880 is an abundant number, since it is smaller than the sum of its proper divisors (6166446720).

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

2135210880 is a wasteful number, since it uses less digits than its factorization.

2135210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2135210880 is about 46208.3421039968. The cubic root of 2135210880 is about 1287.6967252731.

The spelling of 2135210880 in words is "two billion, one hundred thirty-five million, two hundred ten thousand, eight hundred eighty".