1972966080 has 168 divisors, whose sum is σ = 6612373872. Its totient is φ = 498345984.

The previous prime is 1972966069. The next prime is 1972966081. The reversal of 1972966080 is 806692791.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1972966081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343714 + ... + 349406.

Almost surely, 2^1972966080 is an apocalyptic number.

1972966080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306186936).

1972966080 is an abundant number, since it is smaller than the sum of its proper divisors (4639407792).

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

1972966080 is a wasteful number, since it uses less digits than its factorization.

1972966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 1972966080 is about 44418.0828041914. The cubic root of 1972966080 is about 1254.2185110496.

The spelling of 1972966080 in words is "one billion, nine hundred seventy-two million, nine hundred sixty-six thousand, eighty".