7426029240 has 256 divisors, whose sum is σ = 28361779200. Its totient is φ = 1693052928.

The previous prime is 7426029211. The next prime is 7426029253. The reversal of 7426029240 is 429206247.

7426029240 is a `hidden beast` number, since 7 + 4 + 2 + 602 + 9 + 2 + 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 = 7426029195 and 7426029204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3680712 + ... + 3682728.

It is an arithmetic number, because the mean of its divisors is an integer number (110788200).

Almost surely, 2^7426029240 is an apocalyptic number.

7426029240 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 7426029240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14180889600).

7426029240 is an abundant number, since it is smaller than the sum of its proper divisors (20935749960).

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

7426029240 is a wasteful number, since it uses less digits than its factorization.

7426029240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7426029240 is about 86174.4117473395. The cubic root of 7426029240 is about 1950.9773089231.

The spelling of 7426029240 in words is "seven billion, four hundred twenty-six million, twenty-nine thousand, two hundred forty".