1972569984 has 128 divisors (see below), whose sum is σ = 6532634880. Its totient is φ = 512348160.

The previous prime is 1972569943. The next prime is 1972569997. The reversal of 1972569984 is 4899652791.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3789 + ... + 62924.

It is an arithmetic number, because the mean of its divisors is an integer number (51036210).

Almost surely, 2^1972569984 is an apocalyptic number.

1972569984 is a gapful number since it is divisible by the number (14) 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 1972569984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266317440).

1972569984 is an abundant number, since it is smaller than the sum of its proper divisors (4560064896).

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

1972569984 is a wasteful number, since it uses less digits than its factorization.

1972569984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66748 (or 66736 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 60.

The square root of 1972569984 is about 44413.6238557495. The cubic root of 1972569984 is about 1254.1345724238.

The spelling of 1972569984 in words is "one billion, nine hundred seventy-two million, five hundred sixty-nine thousand, nine hundred eighty-four".