1972240320 has 112 divisors (see below), whose sum is σ = 6395240448. Its totient is φ = 514728960.

The previous prime is 1972240307. The next prime is 1972240327. The reversal of 1972240320 is 230422791.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972240327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23265 + ... + 66975.

Almost surely, 2^1972240320 is an apocalyptic number.

1972240320 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 1972240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197620224).

1972240320 is an abundant number, since it is smaller than the sum of its proper divisors (4423000128).

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

1972240320 is a wasteful number, since it uses less digits than its factorization.

1972240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43778 (or 43768 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1972240320 is about 44409.9124070291. The cubic root of 1972240320 is about 1254.0647031573.

The spelling of 1972240320 in words is "one billion, nine hundred seventy-two million, two hundred forty thousand, three hundred twenty".