2129095680 has 176 divisors, whose sum is σ = 6884797920. Its totient is φ = 561512448.

The previous prime is 2129095667. The next prime is 2129095681. The reversal of 2129095680 is 865909212.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2129095681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1489206 + ... + 1490634.

It is an arithmetic number, because the mean of its divisors is an integer number (39118170).

Almost surely, 2^2129095680 is an apocalyptic number.

2129095680 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 2129095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442398960).

2129095680 is an abundant number, since it is smaller than the sum of its proper divisors (4755702240).

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

2129095680 is a wasteful number, since it uses less digits than its factorization.

2129095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 2129095680 is about 46142.1247885270. The cubic root of 2129095680 is about 1286.4662375240.

The spelling of 2129095680 in words is "two billion, one hundred twenty-nine million, ninety-five thousand, six hundred eighty".