10306606240 has 192 divisors, whose sum is σ = 30009450240. Its totient is φ = 3265781760.

The previous prime is 10306606223. The next prime is 10306606279. The reversal of 10306606240 is 4260660301.

It is a super-2 number, since 2×10306606240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10306606199 and 10306606208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866574 + ... + 878386.

It is an arithmetic number, because the mean of its divisors is an integer number (156299220).

Almost surely, 2^10306606240 is an apocalyptic number.

10306606240 is a gapful number since it is divisible by the number (10) 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 10306606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004725120).

10306606240 is an abundant number, since it is smaller than the sum of its proper divisors (19702844000).

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

10306606240 is a wasteful number, since it uses less digits than its factorization.

10306606240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11887 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 10306606240 in words is "ten billion, three hundred six million, six hundred six thousand, two hundred forty".