2129851680 has 144 divisors (see below), whose sum is σ = 7374592512. Its totient is φ = 516313600.

The previous prime is 2129851673. The next prime is 2129851687. The reversal of 2129851680 is 861589212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2129851673) and next prime (2129851687).

It is not an unprimeable number, because it can be changed into a prime (2129851687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39745 + ... + 76415.

It is an arithmetic number, because the mean of its divisors is an integer number (51212448).

Almost surely, 2^2129851680 is an apocalyptic number.

2129851680 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 2129851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687296256).

2129851680 is an abundant number, since it is smaller than the sum of its proper divisors (5244740832).

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

2129851680 is a wasteful number, since it uses less digits than its factorization.

2129851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36711 (or 36692 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 2129851680 is about 46150.3161419291. The cubic root of 2129851680 is about 1286.6184857913.

The spelling of 2129851680 in words is "two billion, one hundred twenty-nine million, eight hundred fifty-one thousand, six hundred eighty".