2309928826560 has 224 divisors, whose sum is σ = 7356046613760. Its totient is φ = 614134321152.

The previous prime is 2309928826559. The next prime is 2309928826561. The reversal of 2309928826560 is 656288299032.

It is an interprime number because it is at equal distance from previous prime (2309928826559) and next prime (2309928826561).

It is a super-2 number, since 2×2309928826560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2309928826494 and 2309928826503.

It is not an unprimeable number, because it can be changed into a prime (2309928826561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547504131 + ... + 547508349.

Almost surely, 2^{2309928826560} is an apocalyptic number.

2309928826560 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 2309928826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678023306880).

2309928826560 is an abundant number, since it is smaller than the sum of its proper divisors (5046117787200).

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

2309928826560 is a wasteful number, since it uses less digits than its factorization.

2309928826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 2309928826560 in words is "two trillion, three hundred nine billion, nine hundred twenty-eight million, eight hundred twenty-six thousand, five hundred sixty".