2079135000 has 160 divisors (see below), whose sum is σ = 7217377200. Its totient is φ = 554400000.

The previous prime is 2079134999. The next prime is 2079135007. The reversal of 2079135000 is 5319702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079135007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 127300 + ... + 142700.

Almost surely, 2^2079135000 is an apocalyptic number.

2079135000 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 2079135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608688600).

2079135000 is an abundant number, since it is smaller than the sum of its proper divisors (5138242200).

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

2079135000 is a wasteful number, since it uses less digits than its factorization.

2079135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15436 (or 15411 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2079135000 is about 45597.5328279941. The cubic root of 2079135000 is about 1276.3238843967.

The spelling of 2079135000 in words is "two billion, seventy-nine million, one hundred thirty-five thousand".