7251546240 has 192 divisors, whose sum is σ = 25086461400. Its totient is φ = 1930199040.

The previous prime is 7251546233. The next prime is 7251546307. The reversal of 7251546240 is 426451527.

It is a happy number.

7251546240 is a `hidden beast` number, since 7 + 25 + 1 + 5 + 4 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2790374976 + 4461171264 = 52824^2 + 66792^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 7251546195 and 7251546204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5073846 + ... + 5075274.

Almost surely, 2^7251546240 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 7251546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12543230700).

7251546240 is an abundant number, since it is smaller than the sum of its proper divisors (17834915160).

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

7251546240 is a wasteful number, since it uses less digits than its factorization.

7251546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 7251546240 is about 85156.0111794816. The cubic root of 7251546240 is about 1935.5759037356.

Adding to 7251546240 its reverse (426451527), we get a palindrome (7677997767).

The spelling of 7251546240 in words is "seven billion, two hundred fifty-one million, five hundred forty-six thousand, two hundred forty".