2009629440 has 864 divisors, whose sum is σ = 8999617536. Its totient is φ = 418037760.

The previous prime is 2009629429. The next prime is 2009629459. The reversal of 2009629440 is 449269002.

2009629440 is a `hidden beast` number, since 20 + 0 + 9 + 629 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2009629440² = 8077220972229427200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2009629395 and 2009629404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28304605 + ... + 28304675.

It is an arithmetic number, because the mean of its divisors is an integer number (10416224).

Almost surely, 2^2009629440 is an apocalyptic number.

2009629440 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 2009629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499808768).

2009629440 is an abundant number, since it is smaller than the sum of its proper divisors (6989988096).

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

2009629440 is an equidigital number, since it uses as much as digits as its factorization.

2009629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2009629440 is about 44828.8906844682. The cubic root of 2009629440 is about 1261.9398690293.

The spelling of 2009629440 in words is "two billion, nine million, six hundred twenty-nine thousand, four hundred forty".