2076129792 has 480 divisors, whose sum is σ = 7131668544. Its totient is φ = 597196800.

The previous prime is 2076129779. The next prime is 2076129817. The reversal of 2076129792 is 2979216702.

2076129792 is a `hidden beast` number, since 20 + 7 + 612 + 9 + 7 + 9 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50637292 + ... + 50637332.

Almost surely, 2^2076129792 is an apocalyptic number.

2076129792 is a gapful number since it is divisible by the number (22) 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 2076129792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565834272).

2076129792 is an abundant number, since it is smaller than the sum of its proper divisors (5055538752).

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

2076129792 is an equidigital number, since it uses as much as digits as its factorization.

2076129792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2076129792 is about 45564.5672864343. The cubic root of 2076129792 is about 1275.7086496556.

The spelling of 2076129792 in words is "two billion, seventy-six million, one hundred twenty-nine thousand, seven hundred ninety-two".