2079129600 has 408 divisors, whose sum is σ = 7801345920. Its totient is φ = 542638080.

The previous prime is 2079129589. The next prime is 2079129617. The reversal of 2079129600 is 69219702.

2079129600 is a `hidden beast` number, since 20 + 7 + 9 + 1 + 29 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44236777 + ... + 44236823.

Almost surely, 2^2079129600 is an apocalyptic number.

2079129600 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 2079129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900672960).

2079129600 is an abundant number, since it is smaller than the sum of its proper divisors (5722216320).

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

2079129600 is an frugal number, since it uses more digits than its factorization.

2079129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2079129600 is about 45597.4736142256. The cubic root of 2079129600 is about 1276.3227794252.

The spelling of 2079129600 in words is "two billion, seventy-nine million, one hundred twenty-nine thousand, six hundred".