2009435904 has 432 divisors, whose sum is σ = 7340004000. Its totient is φ = 538804224.

The previous prime is 2009435861. The next prime is 2009435929. The reversal of 2009435904 is 4095349002.

2009435904 is a `hidden beast` number, since 20 + 0 + 9 + 43 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 5757522 + ... + 5757870.

It is an arithmetic number, because the mean of its divisors is an integer number (16990750).

Almost surely, 2^2009435904 is an apocalyptic number.

2009435904 is a gapful number since it is divisible by the number (24) 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 2009435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670002000).

2009435904 is an abundant number, since it is smaller than the sum of its proper divisors (5330568096).

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

2009435904 is a wasteful number, since it uses less digits than its factorization.

2009435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2009435904 is about 44826.7320245409. The cubic root of 2009435904 is about 1261.8993576411.

The spelling of 2009435904 in words is "two billion, nine million, four hundred thirty-five thousand, nine hundred four".