2129001966 has 96 divisors (see below), whose sum is σ = 5732912640. Its totient is φ = 555999552.

The previous prime is 2129001949. The next prime is 2129001971. The reversal of 2129001966 is 6691009212.

It is a self number, because there is not a number n which added to its sum of digits gives 2129001966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162405 + ... + 175023.

It is an arithmetic number, because the mean of its divisors is an integer number (59717840).

Almost surely, 2^2129001966 is an apocalyptic number.

2129001966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129001966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866456320).

2129001966 is an abundant number, since it is smaller than the sum of its proper divisors (3603910674).

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

2129001966 is a wasteful number, since it uses less digits than its factorization.

2129001966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12750 (or 12747 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2129001966 is about 46141.1092844548. The cubic root of 2129001966 is about 1286.4473622699.

The spelling of 2129001966 in words is "two billion, one hundred twenty-nine million, one thousand, nine hundred sixty-six".