2129865408 has 224 divisors, whose sum is σ = 6912864000. Its totient is φ = 637655040.

The previous prime is 2129865391. The next prime is 2129865421. The reversal of 2129865408 is 8045689212.

2129865408 is a `hidden beast` number, since 2 + 1 + 29 + 86 + 540 + 8 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1691083 + ... + 1692341.

It is an arithmetic number, because the mean of its divisors is an integer number (30861000).

Almost surely, 2^2129865408 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 2129865408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456432000).

2129865408 is an abundant number, since it is smaller than the sum of its proper divisors (4782998592).

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

2129865408 is a wasteful number, since it uses less digits than its factorization.

2129865408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2129865408 is about 46150.4648730649. The cubic root of 2129865408 is about 1286.6212500935.

The spelling of 2129865408 in words is "two billion, one hundred twenty-nine million, eight hundred sixty-five thousand, four hundred eight".