2009464600 has 192 divisors, whose sum is σ = 5813065440. Its totient is φ = 634675200.

The previous prime is 2009464591. The next prime is 2009464627. The reversal of 2009464600 is 64649002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484134 + ... + 488266.

Almost surely, 2^2009464600 is an apocalyptic number.

2009464600 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 2009464600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906532720).

2009464600 is an abundant number, since it is smaller than the sum of its proper divisors (3803600840).

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

2009464600 is a wasteful number, since it uses less digits than its factorization.

2009464600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2009464600 is about 44827.0521002664. The cubic root of 2009464600 is about 1261.9053645163.

The spelling of 2009464600 in words is "two billion, nine million, four hundred sixty-four thousand, six hundred".