2129924160 has 1008 divisors, whose sum is σ = 9738945216. Its totient is φ = 438939648.

The previous prime is 2129924141. The next prime is 2129924183. The reversal of 2129924160 is 614299212.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49533099 + ... + 49533141.

It is an arithmetic number, because the mean of its divisors is an integer number (9661652).

Almost surely, 2^2129924160 is an apocalyptic number.

2129924160 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 2129924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869472608).

2129924160 is an abundant number, since it is smaller than the sum of its proper divisors (7609021056).

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

2129924160 is a wasteful number, since it uses less digits than its factorization.

2129924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2129924160 is about 46151.1013953080. The cubic root of 2129924160 is about 1286.6330803992.

The spelling of 2129924160 in words is "two billion, one hundred twenty-nine million, nine hundred twenty-four thousand, one hundred sixty".