2009776608 has 144 divisors (see below), whose sum is σ = 6611020416. Its totient is φ = 567256320.

The previous prime is 2009776607. The next prime is 2009776621. The reversal of 2009776608 is 8066779002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009776603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161323 + ... + 173333.

It is an arithmetic number, because the mean of its divisors is an integer number (45909864).

Almost surely, 2^2009776608 is an apocalyptic number.

2009776608 is a gapful number since it is divisible by the number (28) 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 2009776608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305510208).

2009776608 is an abundant number, since it is smaller than the sum of its proper divisors (4601243808).

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

2009776608 is a wasteful number, since it uses less digits than its factorization.

2009776608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12117 (or 12106 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2009776608 is about 44830.5320958830. The cubic root of 2009776608 is about 1261.9706728233.

The spelling of 2009776608 in words is "two billion, nine million, seven hundred seventy-six thousand, six hundred eight".