2904808647312 has 2400 divisors, whose sum is σ = 11387099750400. Its totient is φ = 704542924800.

The previous prime is 2904808647263. The next prime is 2904808647319. The reversal of 2904808647312 is 2137468084092.

2904808647312 is a `hidden beast` number, since 2 + 9 + 0 + 4 + 80 + 86 + 473 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2904808647319) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 32638299364 + ... + 32638299452.

It is an arithmetic number, because the mean of its divisors is an integer number (4744624896).

Almost surely, 2^{2904808647312} is an apocalyptic number.

2904808647312 is a gapful number since it is divisible by the number (22) 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 2904808647312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693549875200).

2904808647312 is an abundant number, since it is smaller than the sum of its proper divisors (8482291103088).

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

2904808647312 is a wasteful number, since it uses less digits than its factorization.

2904808647312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2904808647312 in words is "two trillion, nine hundred four billion, eight hundred eight million, six hundred forty-seven thousand, three hundred twelve".