2905920000000 has 624 divisors, whose sum is σ = 10502690886480. Its totient is φ = 774144000000.

The previous prime is 2905919999993. The next prime is 2905920000017. The reversal of 2905920000000 is 295092.

It can be written as a sum of positive squares in 8 ways, for example, as 1990943576064 + 914976423936 = 1411008^2 + 956544^2 .

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 47 ways as a sum of consecutive naturals, for example, 2879999496 + ... + 2880000504.

It is an arithmetic number, because the mean of its divisors is an integer number (16831235395).

Almost surely, 2^{2905920000000} is an apocalyptic number.

2905920000000 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 2905920000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251345443240).

2905920000000 is an abundant number, since it is smaller than the sum of its proper divisors (7596770886480).

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

2905920000000 is an frugal number, since it uses more digits than its factorization.

2905920000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 2905920000000 its reverse (295092), we get a palindrome (2905920295092).

The spelling of 2905920000000 in words is "two trillion, nine hundred five billion, nine hundred twenty million", and thus it is an aban number.