2905488000 has 192 divisors, whose sum is σ = 10434850920. Its totient is φ = 774758400.

The previous prime is 2905487993. The next prime is 2905488013. The reversal of 2905488000 is 8845092.

It can be written as a sum of positive squares in 4 ways, for example, as 1127347776 + 1778140224 = 33576^2 + 42168^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133912 + ... + 154088.

Almost surely, 2^2905488000 is an apocalyptic number.

2905488000 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 2905488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217425460).

2905488000 is an abundant number, since it is smaller than the sum of its proper divisors (7529362920).

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

2905488000 is a wasteful number, since it uses less digits than its factorization.

2905488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20212 (or 20187 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2905488000 is about 53902.5787880320. The cubic root of 2905488000 is about 1426.9421348688.

The spelling of 2905488000 in words is "two billion, nine hundred five million, four hundred eighty-eight thousand".