7241619840 has 768 divisors, whose sum is σ = 30005821440. Its totient is φ = 1470873600.

The previous prime is 7241619787. The next prime is 7241619857. The reversal of 7241619840 is 489161427.

It is a super-3 number, since 3×7241619840³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7241619792 and 7241619801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37914145 + ... + 37914335.

It is an arithmetic number, because the mean of its divisors is an integer number (39070080).

Almost surely, 2^7241619840 is an apocalyptic number.

7241619840 is a gapful number since it is divisible by the number (70) 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 7241619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002910720).

7241619840 is an abundant number, since it is smaller than the sum of its proper divisors (22764201600).

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

7241619840 is a wasteful number, since it uses less digits than its factorization.

7241619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7241619840 is about 85097.7076071970. The cubic root of 7241619840 is about 1934.6923186581.

The spelling of 7241619840 in words is "seven billion, two hundred forty-one million, six hundred nineteen thousand, eight hundred forty".