7246506240 has 360 divisors, whose sum is σ = 26644214520. Its totient is φ = 1879179264.

The previous prime is 7246506229. The next prime is 7246506271. The reversal of 7246506240 is 426056427.

7246506240 is a `hidden beast` number, since 7 + 24 + 6 + 5 + 0 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1916338176 + 5330168064 = 43776^2 + 73008^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7246506195 and 7246506204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3835216 + ... + 3837104.

It is an arithmetic number, because the mean of its divisors is an integer number (74011707).

Almost surely, 2^7246506240 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 7246506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322107260).

7246506240 is an abundant number, since it is smaller than the sum of its proper divisors (19397708280).

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

7246506240 is a wasteful number, since it uses less digits than its factorization.

7246506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7246506240 is about 85126.4132922326. The cubic root of 7246506240 is about 1935.1273757866.

The spelling of 7246506240 in words is "seven billion, two hundred forty-six million, five hundred six thousand, two hundred forty".