2009121408 has 640 divisors, whose sum is σ = 7582924800. Its totient is φ = 515082240.

The previous prime is 2009121407. The next prime is 2009121419. The reversal of 2009121408 is 8041219002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009121407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42747241 + ... + 42747287.

It is an arithmetic number, because the mean of its divisors is an integer number (11848320).

Almost surely, 2^2009121408 is an apocalyptic number.

2009121408 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 2009121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791462400).

2009121408 is an abundant number, since it is smaller than the sum of its proper divisors (5573803392).

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

2009121408 is a wasteful number, since it uses less digits than its factorization.

2009121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2009121408 is about 44823.2239804323. The cubic root of 2009121408 is about 1261.8335210871.

The spelling of 2009121408 in words is "two billion, nine million, one hundred twenty-one thousand, four hundred eight".