2905011132320 has 384 divisors, whose sum is σ = 7887118417920. Its totient is φ = 1000834560000.

The previous prime is 2905011132313. The next prime is 2905011132323. The reversal of 2905011132320 is 232311105092.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2905011132323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4040348921 + ... + 4040349639.

It is an arithmetic number, because the mean of its divisors is an integer number (20539370880).

Almost surely, 2^{2905011132320} is an apocalyptic number.

2905011132320 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 2905011132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943559208960).

2905011132320 is an abundant number, since it is smaller than the sum of its proper divisors (4982107285600).

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

2905011132320 is a wasteful number, since it uses less digits than its factorization.

2905011132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 2905011132320 in words is "two trillion, nine hundred five billion, eleven million, one hundred thirty-two thousand, three hundred twenty".