7240512240 has 800 divisors, whose sum is σ = 29310374016. Its totient is φ = 1642291200.

The previous prime is 7240512239. The next prime is 7240512247. The reversal of 7240512240 is 422150427.

7240512240 is a `hidden beast` number, since 7 + 2 + 405 + 12 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7240512247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71688190 + ... + 71688290.

Almost surely, 2^7240512240 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 7240512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655187008).

7240512240 is an abundant number, since it is smaller than the sum of its proper divisors (22069861776).

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

7240512240 is a wasteful number, since it uses less digits than its factorization.

7240512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 7240512240 is about 85091.1995449588. The cubic root of 7240512240 is about 1934.5936770779.

Adding to 7240512240 its reverse (422150427), we get a palindrome (7662662667).

The spelling of 7240512240 in words is "seven billion, two hundred forty million, five hundred twelve thousand, two hundred forty".