1972056064 has 156 divisors (see below), whose sum is σ = 4549346928. Its totient is φ = 852459520.

The previous prime is 1972056029. The next prime is 1972056071. The reversal of 1972056064 is 4606502791.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11399082 + ... + 11399254.

Almost surely, 2^1972056064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274673464).

1972056064 is an abundant number, since it is smaller than the sum of its proper divisors (2577290864).

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

1972056064 is a wasteful number, since it uses less digits than its factorization.

1972056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1972056064 is about 44407.8378667550. The cubic root of 1972056064 is about 1254.0256483930.

The spelling of 1972056064 in words is "one billion, nine hundred seventy-two million, fifty-six thousand, sixty-four".