2904315321408 has 112 divisors (see below), whose sum is σ = 7729480624320. Its totient is φ = 962432886784.

The previous prime is 2904315321407. The next prime is 2904315321409. The reversal of 2904315321408 is 8041235134092.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2904315321407) and next prime (2904315321409).

It is a self number, because there is not a number n which added to its sum of digits gives 2904315321408.

It is not an unprimeable number, because it can be changed into a prime (2904315321407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24059410 + ... + 24179822.

It is an arithmetic number, because the mean of its divisors is an integer number (69013219860).

Almost surely, 2^{2904315321408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2904315321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864740312160).

2904315321408 is an abundant number, since it is smaller than the sum of its proper divisors (4825165302912).

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

2904315321408 is a wasteful number, since it uses less digits than its factorization.

2904315321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121164 (or 121154 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 2904315321408 in words is "two trillion, nine hundred four billion, three hundred fifteen million, three hundred twenty-one thousand, four hundred eight".