2129662080 has 768 divisors, whose sum is σ = 9623577600. Its totient is φ = 421134336.

The previous prime is 2129662079. The next prime is 2129662081. The reversal of 2129662080 is 802669212.

It is a happy number.

2129662080 is a `hidden beast` number, since 2 + 1 + 29 + 6 + 620 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2129662079) and next prime (2129662081).

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 (2129662081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8910601 + ... + 8910839.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^2129662080 is an apocalyptic number.

2129662080 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 2129662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811788800).

2129662080 is an abundant number, since it is smaller than the sum of its proper divisors (7493915520).

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

2129662080 is a wasteful number, since it uses less digits than its factorization.

2129662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2129662080 is about 46148.2619391023. The cubic root of 2129662080 is about 1286.5803062777.

The spelling of 2129662080 in words is "two billion, one hundred twenty-nine million, six hundred sixty-two thousand, eighty".