2023260954624 has 1792 divisors, whose sum is σ = 8016587228160. Its totient is φ = 495338913792.

The previous prime is 2023260954587. The next prime is 2023260954653. The reversal of 2023260954624 is 4264590623202.

2023260954624 is a `hidden beast` number, since 2 + 0 + 2 + 32 + 609 + 5 + 4 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a self number, because there is not a number n which added to its sum of digits gives 2023260954624.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 27715903452 + ... + 27715903524.

It is an arithmetic number, because the mean of its divisors is an integer number (4473541980).

Almost surely, 2^{2023260954624} is an apocalyptic number.

2023260954624 is a gapful number since it is divisible by the number (24) 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 2023260954624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008293614080).

2023260954624 is an abundant number, since it is smaller than the sum of its proper divisors (5993326273536).

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

2023260954624 is an frugal number, since it uses more digits than its factorization.

2023260954624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2023260954624 in words is "two trillion, twenty-three billion, two hundred sixty million, nine hundred fifty-four thousand, six hundred twenty-four".