2130688 has 72 divisors (see below), whose sum is σ = 5150880. Its totient is φ = 860160.

The previous prime is 2130683. The next prime is 2130701. The reversal of 2130688 is 8860312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2⁵ + 1 + 3⁶ + 0 + 6 + 8⁵ + 8⁷ .

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2130683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51948 + ... + 51988.

It is an arithmetic number, because the mean of its divisors is an integer number (71540).

2^2130688 is an apocalyptic number.

2130688 is a gapful number since it is divisible by the number (28) 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 2130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575440).

2130688 is an abundant number, since it is smaller than the sum of its proper divisors (3020192).

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

2130688 is an equidigital number, since it uses as much as digits as its factorization.

2130688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2130688 is about 1459.6876378184. The cubic root of 2130688 is about 128.6786867464.

The spelling of 2130688 in words is "two million, one hundred thirty thousand, six hundred eighty-eight".