1972745280 has 840 divisors, whose sum is σ = 8387800344. Its totient is φ = 437944320.

The previous prime is 1972745279. The next prime is 1972745287. The reversal of 1972745280 is 825472791.

It is a happy number.

1972745280 is a `hidden beast` number, since 197 + 2 + 7 + 452 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 812934144 + 1159811136 = 28512^2 + 34056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972745287) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53317422 + ... + 53317458.

Almost surely, 2^1972745280 is an apocalyptic number.

1972745280 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 1972745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193900172).

1972745280 is an abundant number, since it is smaller than the sum of its proper divisors (6415055064).

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

1972745280 is a wasteful number, since it uses less digits than its factorization.

1972745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1972745280 is about 44415.5972604219. The cubic root of 1972745280 is about 1254.1717216359.

The spelling of 1972745280 in words is "one billion, nine hundred seventy-two million, seven hundred forty-five thousand, two hundred eighty".