1972159280 has 160 divisors (see below), whose sum is σ = 5737216128. Its totient is φ = 613785600.

The previous prime is 1972159253. The next prime is 1972159289. The reversal of 1972159280 is 829512791.

It is a happy number.

It is a Cunningham number, because it is equal to 44409²-1.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1972159289) 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, 441860 + ... + 446300.

Almost surely, 2^1972159280 is an apocalyptic number.

1972159280 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 1972159280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868608064).

1972159280 is an abundant number, since it is smaller than the sum of its proper divisors (3765056848).

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

1972159280 is a wasteful number, since it uses less digits than its factorization.

1972159280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 44.

The square root of 1972159280 is about 44408.9999887410. Note that the first 4 decimals coincide. The cubic root of 1972159280 is about 1254.0475262790.

The spelling of 1972159280 in words is "one billion, nine hundred seventy-two million, one hundred fifty-nine thousand, two hundred eighty".