2904458880 has 128 divisors (see below), whose sum is σ = 9410112000. Its totient is φ = 761794560.

The previous prime is 2904458861. The next prime is 2904458933. The reversal of 2904458880 is 888544092.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2904458880² = 16871762771221708800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 (48).

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 15 ways as a sum of consecutive naturals, for example, 104721 + ... + 129519.

It is an arithmetic number, because the mean of its divisors is an integer number (73516500).

Almost surely, 2^2904458880 is an apocalyptic number.

2904458880 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 2904458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705056000).

2904458880 is an abundant number, since it is smaller than the sum of its proper divisors (6505653120).

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

2904458880 is a wasteful number, since it uses less digits than its factorization.

2904458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24882 (or 24870 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 2904458880 is about 53893.0318315828. The cubic root of 2904458880 is about 1426.7736413027.

The spelling of 2904458880 in words is "two billion, nine hundred four million, four hundred fifty-eight thousand, eight hundred eighty".