2123210880 has 320 divisors, whose sum is σ = 8667046080. Its totient is φ = 485222400.

The previous prime is 2123210867. The next prime is 2123210893. The reversal of 2123210880 is 880123212.

It is an interprime number because it is at equal distance from previous prime (2123210867) and next prime (2123210893).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359955 + ... + 365805.

It is an arithmetic number, because the mean of its divisors is an integer number (27084519).

Almost surely, 2^2123210880 is an apocalyptic number.

2123210880 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 2123210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333523040).

2123210880 is an abundant number, since it is smaller than the sum of its proper divisors (6543835200).

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

2123210880 is an equidigital number, since it uses as much as digits as its factorization.

2123210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2123210880 is about 46078.3124690998. The cubic root of 2123210880 is about 1285.2798837221.

The spelling of 2123210880 in words is "two billion, one hundred twenty-three million, two hundred ten thousand, eight hundred eighty".