2129039640 has 768 divisors, whose sum is σ = 9246182400. Its totient is φ = 428488704.

The previous prime is 2129039621. The next prime is 2129039663. The reversal of 2129039640 is 469309212.

2129039640 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 0 + 3 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2129039595 and 2129039604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25651039 + ... + 25651121.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 2^2129039640 is an apocalyptic number.

2129039640 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 2129039640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623091200).

2129039640 is an abundant number, since it is smaller than the sum of its proper divisors (7117142760).

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

2129039640 is a wasteful number, since it uses less digits than its factorization.

2129039640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2129039640 is about 46141.5175303110. The cubic root of 2129039640 is about 1286.4549503844.

The spelling of 2129039640 in words is "two billion, one hundred twenty-nine million, thirty-nine thousand, six hundred forty".