2120688000 has 256 divisors, whose sum is σ = 7812792000. Its totient is φ = 565401600.

The previous prime is 2120687981. The next prime is 2120688043. The reversal of 2120688000 is 8860212.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429546 + ... + 434454.

Almost surely, 2^2120688000 is an apocalyptic number.

2120688000 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 2120688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906396000).

2120688000 is an abundant number, since it is smaller than the sum of its proper divisors (5692104000).

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

2120688000 is an equidigital number, since it uses as much as digits as its factorization.

2120688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947 (or 4919 counting only the distinct ones).

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

The square root of 2120688000 is about 46050.9283294050. The cubic root of 2120688000 is about 1284.7706091258.

The spelling of 2120688000 in words is "two billion, one hundred twenty million, six hundred eighty-eight thousand".