7241952960 has 448 divisors, whose sum is σ = 29091087360. Its totient is φ = 1678786560.

The previous prime is 7241952947. The next prime is 7241952967. The reversal of 7241952960 is 692591427.

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

It is not an unprimeable number, because it can be changed into a prime (7241952967) 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 63 ways as a sum of consecutive naturals, for example, 2184264 + ... + 2187576.

Almost surely, 2^7241952960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7241952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545543680).

7241952960 is an abundant number, since it is smaller than the sum of its proper divisors (21849134400).

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

7241952960 is a wasteful number, since it uses less digits than its factorization.

7241952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7241952960 is about 85099.6648642050. The cubic root of 7241952960 is about 1934.7219839741.

The spelling of 7241952960 in words is "seven billion, two hundred forty-one million, nine hundred fifty-two thousand, nine hundred sixty".