2129807736 has 512 divisors, whose sum is σ = 7776000000. Its totient is φ = 536481792.

The previous prime is 2129807723. The next prime is 2129807761. The reversal of 2129807736 is 6377089212.

It is a junction number, because it is equal to n+sod(n) for n = 2129807691 and 2129807700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23930380 + ... + 23930468.

It is an arithmetic number, because the mean of its divisors is an integer number (15187500).

Almost surely, 2^2129807736 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 2129807736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000000).

2129807736 is an abundant number, since it is smaller than the sum of its proper divisors (5646192264).

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

2129807736 is a wasteful number, since it uses less digits than its factorization.

2129807736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2129807736 is about 46149.8400430597. The cubic root of 2129807736 is about 1286.6096370450.

The spelling of 2129807736 in words is "two billion, one hundred twenty-nine million, eight hundred seven thousand, seven hundred thirty-six".