2129064912 has 280 divisors, whose sum is σ = 7020557600. Its totient is φ = 619778304.

The previous prime is 2129064907. The next prime is 2129064913. The reversal of 2129064912 is 2194609212.

2129064912 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 0 + 649 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129064913) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2880639 + ... + 2881377.

It is an arithmetic number, because the mean of its divisors is an integer number (25073420).

Almost surely, 2^2129064912 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 2129064912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510278800).

2129064912 is an abundant number, since it is smaller than the sum of its proper divisors (4891492688).

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

2129064912 is a wasteful number, since it uses less digits than its factorization.

2129064912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 776 counting only the distinct ones).

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

The square root of 2129064912 is about 46141.7913826501. The cubic root of 2129064912 is about 1286.4600404980.

The spelling of 2129064912 in words is "two billion, one hundred twenty-nine million, sixty-four thousand, nine hundred twelve".