2980767720100 has 27 divisors (see below), whose sum is σ = 6468303417667. Its totient is φ = 1192300182080.

The previous prime is 2980767720097. The next prime is 2980767720103. The reversal of 2980767720100 is 10277670892.

The square root of 2980767720100 is 1726490.

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

It is an interprime number because it is at equal distance from previous prime (2980767720097) and next prime (2980767720103).

It can be written as a sum of positive squares in 4 ways, for example, as 1639081030756 + 1341686689344 = 1280266^2 + 1158312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2980767720103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17178576 + ... + 17351224.

Almost surely, 2^{2980767720100} is an apocalyptic number.

2980767720100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2980767720100 is the 1726490-th square number.

It is an amenable number.

2980767720100 is an abundant number, since it is smaller than the sum of its proper divisors (3487535697567).

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

2980767720100 is an frugal number, since it uses more digits than its factorization.

2980767720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345312 (or 172656 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 49.

Multiplying 2980767720100 by its sum of digits (49), we get a square (146057618284900 = 12085430²).

The spelling of 2980767720100 in words is "two trillion, nine hundred eighty billion, seven hundred sixty-seven million, seven hundred twenty thousand, one hundred".