2120921088 has 416 divisors, whose sum is σ = 7133640192. Its totient is φ = 550502400.

The previous prime is 2120921083. The next prime is 2120921093. The reversal of 2120921088 is 8801290212.

It is an interprime number because it is at equal distance from previous prime (2120921083) and next prime (2120921093).

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2120921081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29872093 + ... + 29872163.

Almost surely, 2^2120921088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120921088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566820096).

2120921088 is an abundant number, since it is smaller than the sum of its proper divisors (5012719104).

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

2120921088 is a wasteful number, since it uses less digits than its factorization.

2120921088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2120921088 is about 46053.4590231830. The cubic root of 2120921088 is about 1284.8176777565.

The spelling of 2120921088 in words is "two billion, one hundred twenty million, nine hundred twenty-one thousand, eighty-eight".