2121985152 has 384 divisors, whose sum is σ = 7721775360. Its totient is φ = 544997376.

The previous prime is 2121985147. The next prime is 2121985211. The reversal of 2121985152 is 2515891212.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3152688 + ... + 3153360.

It is an arithmetic number, because the mean of its divisors is an integer number (20108790).

Almost surely, 2^2121985152 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 2121985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860887680).

2121985152 is an abundant number, since it is smaller than the sum of its proper divisors (5599790208).

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

2121985152 is a wasteful number, since it uses less digits than its factorization.

2121985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 725 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 2121985152 is about 46065.0100618680. The cubic root of 2121985152 is about 1285.0325057511.

The spelling of 2121985152 in words is "two billion, one hundred twenty-one million, nine hundred eighty-five thousand, one hundred fifty-two".