1972960000 has 360 divisors, whose sum is σ = 5746910400. Its totient is φ = 668160000.

The previous prime is 1972959907. The next prime is 1972960009. The reversal of 1972960000 is 692791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972960009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33439971 + ... + 33440029.

It is an arithmetic number, because the mean of its divisors is an integer number (15963640).

Almost surely, 2^1972960000 is an apocalyptic number.

1972960000 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 1972960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873455200).

1972960000 is an abundant number, since it is smaller than the sum of its proper divisors (3773950400).

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

1972960000 is an equidigital number, since it uses as much as digits as its factorization.

1972960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 1972960000 is about 44418.0143635440. The cubic root of 1972960000 is about 1254.2172226922.

The spelling of 1972960000 in words is "one billion, nine hundred seventy-two million, nine hundred sixty thousand".