2076682744900 has 81 divisors (see below), whose sum is σ = 4594722130551. Its totient is φ = 814700278080.

The previous prime is 2076682744879. The next prime is 2076682744909. The reversal of 2076682744900 is 94472866702.

The square root of 2076682744900 is 1441070.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15643505476 + 2061039239424 = 125074^2 + 1435632^2 .

It is a super-2 number, since 2×2076682744900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2076682744909) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 763765741 + ... + 763768459.

Almost surely, 2^{2076682744900} is an apocalyptic number.

2076682744900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2076682744900 is the 1441070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2076682744900

2076682744900 is an abundant number, since it is smaller than the sum of its proper divisors (2518039385651).

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

2076682744900 is an frugal number, since it uses more digits than its factorization.

2076682744900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 2076682744900 in words is "two trillion, seventy-six billion, six hundred eighty-two million, seven hundred forty-four thousand, nine hundred".