2129152720 has 60 divisors (see below), whose sum is σ = 5001694380. Its totient is φ = 842905600.

The previous prime is 2129152717. The next prime is 2129152741. The reversal of 2129152720 is 272519212.

It can be written as a sum of positive squares in 6 ways, for example, as 499254336 + 1629898384 = 22344^2 + 40372^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 814776 + ... + 817384.

It is an arithmetic number, because the mean of its divisors is an integer number (83361573).

Almost surely, 2^2129152720 is an apocalyptic number.

2129152720 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 2129152720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500847190).

2129152720 is an abundant number, since it is smaller than the sum of its proper divisors (2872541660).

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

2129152720 is a wasteful number, since it uses less digits than its factorization.

2129152720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 2129152720 is about 46142.7428746927. The cubic root of 2129152720 is about 1286.4777258724.

The spelling of 2129152720 in words is "two billion, one hundred twenty-nine million, one hundred fifty-two thousand, seven hundred twenty".