2080258136100 has 243 divisors, whose sum is σ = 6588560317521. Its totient is φ = 549000878400.

The previous prime is 2080258136081. The next prime is 2080258136119. The reversal of 2080258136100 is 16318520802.

It is a happy number.

The square root of 2080258136100 is 1442310.

It is a perfect power (a square), and thus also a powerful number.

2080258136100 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 25 + 8 + 13 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2080258136081) and next prime (2080258136119).

It can be written as a sum of positive squares in only one way, i.e., 748892928996 + 1331365207104 = 865386^2 + 1153848^2 .

It is a super-2 number, since 2×2080258136100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5668278117 + ... + 5668278483.

Almost surely, 2^{2080258136100} is an apocalyptic number.

2080258136100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2080258136100 is the 1442310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2080258136100

2080258136100 is an abundant number, since it is smaller than the sum of its proper divisors (4508302181421).

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

2080258136100 is a wasteful number, since it uses less digits than its factorization.

2080258136100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 2080258136100 by its sum of digits (36), we get a square (74889292899600 = 8653860²).

2080258136100 divided by its sum of digits (36) gives a square (57784948225 = 240385²).

The spelling of 2080258136100 in words is "two trillion, eighty billion, two hundred fifty-eight million, one hundred thirty-six thousand, one hundred".