2009378592 has 288 divisors, whose sum is σ = 6626430720. Its totient is φ = 572313600.

The previous prime is 2009378587. The next prime is 2009378627. The reversal of 2009378592 is 2958739002.

2009378592 is a `hidden beast` number, since 20 + 0 + 9 + 37 + 8 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 3343092 + ... + 3343692.

It is an arithmetic number, because the mean of its divisors is an integer number (23008440).

Almost surely, 2^2009378592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009378592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313215360).

2009378592 is an abundant number, since it is smaller than the sum of its proper divisors (4617052128).

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

2009378592 is a wasteful number, since it uses less digits than its factorization.

2009378592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2009378592 is about 44826.0927585709. The cubic root of 2009378592 is about 1261.8873604660.

The spelling of 2009378592 in words is "two billion, nine million, three hundred seventy-eight thousand, five hundred ninety-two".