7502952240 has 400 divisors, whose sum is σ = 29945583360. Its totient is φ = 1705536000.

The previous prime is 7502952221. The next prime is 7502952253. The reversal of 7502952240 is 422592057.

It is a happy number.

7502952240 is a `hidden beast` number, since 7 + 502 + 95 + 22 + 40 = 666.

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 = 7502952195 and 7502952204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11385031 + ... + 11385689.

Almost surely, 2^7502952240 is an apocalyptic number.

7502952240 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 7502952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14972791680).

7502952240 is an abundant number, since it is smaller than the sum of its proper divisors (22442631120).

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

7502952240 is a wasteful number, since it uses less digits than its factorization.

7502952240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7502952240 is about 86619.5834670197. The cubic root of 7502952240 is about 1957.6906230887.

The spelling of 7502952240 in words is "seven billion, five hundred two million, nine hundred fifty-two thousand, two hundred forty".