2305201926720 has 1344 divisors, whose sum is σ = 9513505382400. Its totient is φ = 467505561600.

The previous prime is 2305201926673. The next prime is 2305201926757. The reversal of 2305201926720 is 276291025032.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6281203977 + ... + 6281204343.

Almost surely, 2^{2305201926720} is an apocalyptic number.

2305201926720 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 2305201926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756752691200).

2305201926720 is an abundant number, since it is smaller than the sum of its proper divisors (7208303455680).

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

2305201926720 is a wasteful number, since it uses less digits than its factorization.

2305201926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 2305201926720 in words is "two trillion, three hundred five billion, two hundred one million, nine hundred twenty-six thousand, seven hundred twenty".