1972518912 has 480 divisors, whose sum is σ = 7339808000. Its totient is φ = 520224768.

The previous prime is 1972518881. The next prime is 1972518913. The reversal of 1972518912 is 2198152791.

It is not an unprimeable number, because it can be changed into a prime (1972518913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151732218 + ... + 151732230.

Almost surely, 2^1972518912 is an apocalyptic number.

1972518912 is a gapful number since it is divisible by the number (12) 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 1972518912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669904000).

1972518912 is an abundant number, since it is smaller than the sum of its proper divisors (5367289088).

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

1972518912 is an frugal number, since it uses more digits than its factorization.

1972518912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 25 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 1972518912 is about 44413.0488933151. The cubic root of 1972518912 is about 1254.1237486906.

The spelling of 1972518912 in words is "one billion, nine hundred seventy-two million, five hundred eighteen thousand, nine hundred twelve".