1980975680 has 56 divisors (see below), whose sum is σ = 4832283960. Its totient is φ = 773058560.

The previous prime is 1980975649. The next prime is 1980975683. The reversal of 1980975680 is 865790891.

It can be written as a sum of positive squares in 4 ways, for example, as 369664 + 1980606016 = 608^2 + 44504^2 .

It is not an unprimeable number, because it can be changed into a prime (1980975683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62375 + ... + 88614.

It is an arithmetic number, because the mean of its divisors is an integer number (86290785).

Almost surely, 2^1980975680 is an apocalyptic number.

1980975680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1980975680 is an abundant number, since it is smaller than the sum of its proper divisors (2851308280).

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

1980975680 is a wasteful number, since it uses less digits than its factorization.

1980975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151047 (or 151037 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 53.

The square root of 1980975680 is about 44508.1529610025. The cubic root of 1980975680 is about 1255.9134590866.

The spelling of 1980975680 in words is "one billion, nine hundred eighty million, nine hundred seventy-five thousand, six hundred eighty".