1972905984 has 240 divisors, whose sum is σ = 6738732000. Its totient is φ = 563355648.

The previous prime is 1972905941. The next prime is 1972905997. The reversal of 1972905984 is 4895092791.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1972905984.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1160367 + ... + 1162065.

It is an arithmetic number, because the mean of its divisors is an integer number (28078050).

Almost surely, 2^1972905984 is an apocalyptic number.

1972905984 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 1972905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369366000).

1972905984 is an abundant number, since it is smaller than the sum of its proper divisors (4765826016).

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

1972905984 is an equidigital number, since it uses as much as digits as its factorization.

1972905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 1972905984 is about 44417.4063177939. The cubic root of 1972905984 is about 1254.2057765376.

The spelling of 1972905984 in words is "one billion, nine hundred seventy-two million, nine hundred five thousand, nine hundred eighty-four".