2905074712320 has 864 divisors, whose sum is σ = 10621279388160. Its totient is φ = 675380428800.

The previous prime is 2905074712307. The next prime is 2905074712339. The reversal of 2905074712320 is 232174705092.

It is a super-2 number, since 2×2905074712320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2250250875 + ... + 2250252165.

It is an arithmetic number, because the mean of its divisors is an integer number (12293147440).

Almost surely, 2^{2905074712320} is an apocalyptic number.

2905074712320 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 2905074712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310639694080).

2905074712320 is an abundant number, since it is smaller than the sum of its proper divisors (7716204675840).

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

2905074712320 is a wasteful number, since it uses less digits than its factorization.

2905074712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 2905074712320 in words is "two trillion, nine hundred five billion, seventy-four million, seven hundred twelve thousand, three hundred twenty".