2079958500 has 576 divisors, whose sum is σ = 7727166720. Its totient is φ = 485222400.

The previous prime is 2079958429. The next prime is 2079958501. The reversal of 2079958500 is 58599702.

2079958500 = T₁₉₅ + T₁₉₆ + ... + T₂₃₁₉.

It is a happy number.

2079958500 is a `hidden beast` number, since 2 + 0 + 7 + 99 + 58 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2079958501) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39244474 + ... + 39244526.

It is an arithmetic number, because the mean of its divisors is an integer number (13415220).

Almost surely, 2^2079958500 is an apocalyptic number.

2079958500 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 2079958500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863583360).

2079958500 is an abundant number, since it is smaller than the sum of its proper divisors (5647208220).

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

2079958500 is a wasteful number, since it uses less digits than its factorization.

2079958500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 2079958500 is about 45606.5620278486. The cubic root of 2079958500 is about 1276.4923701665.

The spelling of 2079958500 in words is "two billion, seventy-nine million, nine hundred fifty-eight thousand, five hundred".