2122521984 has 144 divisors (see below), whose sum is σ = 6713949060. Its totient is φ = 643146240.

The previous prime is 2122521967. The next prime is 2122521997. The reversal of 2122521984 is 4891252212.

2122521984 is a `hidden beast` number, since 2 + 122 + 521 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 131779 + ... + 147005.

Almost surely, 2^2122521984 is an apocalyptic number.

2122521984 is a gapful number since it is divisible by the number (24) 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 2122521984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356974530).

2122521984 is an abundant number, since it is smaller than the sum of its proper divisors (4591427076).

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

2122521984 is a wasteful number, since it uses less digits than its factorization.

2122521984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15269 (or 15243 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2122521984 is about 46070.8365888878. The cubic root of 2122521984 is about 1285.1408615838.

The spelling of 2122521984 in words is "two billion, one hundred twenty-two million, five hundred twenty-one thousand, nine hundred eighty-four".