7249482240 has 1280 divisors, whose sum is σ = 33261871104. Its totient is φ = 1297612800.

The previous prime is 7249482239. The next prime is 7249482259. The reversal of 7249482240 is 422849427.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 7249482192 and 7249482201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176816620 + ... + 176816660.

Almost surely, 2^7249482240 is an apocalyptic number.

7249482240 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 7249482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16630935552).

7249482240 is an abundant number, since it is smaller than the sum of its proper divisors (26012388864).

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

7249482240 is a wasteful number, since it uses less digits than its factorization.

7249482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 7249482240 is about 85143.8913839390. The cubic root of 7249482240 is about 1935.3922459966.

The spelling of 7249482240 in words is "seven billion, two hundred forty-nine million, four hundred eighty-two thousand, two hundred forty".