1972998720 has 1008 divisors, whose sum is σ = 9106546176. Its totient is φ = 387072000.

The previous prime is 1972998697. The next prime is 1972998737. The reversal of 1972998720 is 278992791.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 48121900 + ... + 48121940.

It is an arithmetic number, because the mean of its divisors is an integer number (9034272).

Almost surely, 2^1972998720 is an apocalyptic number.

1972998720 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 1972998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553273088).

1972998720 is an abundant number, since it is smaller than the sum of its proper divisors (7133547456).

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

1972998720 is a wasteful number, since it uses less digits than its factorization.

1972998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 1972998720 is about 44418.4502206009. The cubic root of 1972998720 is about 1254.2254274494.

The spelling of 1972998720 in words is "one billion, nine hundred seventy-two million, nine hundred ninety-eight thousand, seven hundred twenty".