2309263799040 has 1728 divisors, whose sum is σ = 9309645176832. Its totient is φ = 523476172800.

The previous prime is 2309263799027. The next prime is 2309263799041. The reversal of 2309263799040 is 409973629032.

2309263799040 is a `hidden beast` number, since 2 + 309 + 263 + 79 + 9 + 0 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2309263799041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18183179457 + ... + 18183179583.

It is an arithmetic number, because the mean of its divisors is an integer number (5387526144).

Almost surely, 2^{2309263799040} is an apocalyptic number.

2309263799040 is a gapful number since it is divisible by the number (20) 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 2309263799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654822588416).

2309263799040 is an abundant number, since it is smaller than the sum of its proper divisors (7000381377792).

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

2309263799040 is a wasteful number, since it uses less digits than its factorization.

2309263799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 2309263799040 in words is "two trillion, three hundred nine billion, two hundred sixty-three million, seven hundred ninety-nine thousand, forty".