2909421000 has 192 divisors, whose sum is σ = 10100778480. Its totient is φ = 754790400.

The previous prime is 2909420993. The next prime is 2909421017. The reversal of 2909421000 is 1249092.

It can be written as a sum of positive squares in 8 ways, for example, as 334670436 + 2574750564 = 18294^2 + 50742^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328632 + ... + 337368.

Almost surely, 2^2909421000 is an apocalyptic number.

2909421000 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 2909421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050389240).

2909421000 is an abundant number, since it is smaller than the sum of its proper divisors (7191357480).

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

2909421000 is a wasteful number, since it uses less digits than its factorization.

2909421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8801 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2909421000 is about 53939.0489348858. The cubic root of 2909421000 is about 1427.5857023781.

The spelling of 2909421000 in words is "two billion, nine hundred nine million, four hundred twenty-one thousand".