2040983676900 has 243 divisors, whose sum is σ = 7442909307561. Its totient is φ = 466441980480.

The previous prime is 2040983676869. The next prime is 2040983676917. The reversal of 2040983676900 is 96763890402.

It is a happy number.

The square root of 2040983676900 is 1428630.

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

2040983676900 is a `hidden beast` number, since 2 + 0 + 409 + 83 + 6 + 76 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 734754123684 + 1306229553216 = 857178^2 + 1142904^2 .

It is a super-2 number, since 2×2040983676900² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 300008899 + ... + 300015701.

Almost surely, 2^{2040983676900} is an apocalyptic number.

2040983676900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2040983676900 is the 1428630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040983676900

2040983676900 is an abundant number, since it is smaller than the sum of its proper divisors (5401925630661).

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

2040983676900 is an equidigital number, since it uses as much as digits as its factorization.

2040983676900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13640 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2040983676900 in words is "two trillion, forty billion, nine hundred eighty-three million, six hundred seventy-six thousand, nine hundred".