2905922880 has 672 divisors, whose sum is σ = 12381707520. Its totient is φ = 610467840.

The previous prime is 2905922869. The next prime is 2905922881. The reversal of 2905922880 is 882295092.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905922881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20905851 + ... + 20905989.

It is an arithmetic number, because the mean of its divisors is an integer number (18425160).

Almost surely, 2^2905922880 is an apocalyptic number.

2905922880 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 2905922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190853760).

2905922880 is an abundant number, since it is smaller than the sum of its proper divisors (9475784640).

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

2905922880 is a wasteful number, since it uses less digits than its factorization.

2905922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2905922880 is about 53906.6125813893. The cubic root of 2905922880 is about 1427.0133240159.

The spelling of 2905922880 in words is "two billion, nine hundred five million, nine hundred twenty-two thousand, eight hundred eighty".