2009470400 has 378 divisors, whose sum is σ = 6155987688. Its totient is φ = 643507200.

The previous prime is 2009470399. The next prime is 2009470403. The reversal of 2009470400 is 40749002.

It is a self number, because there is not a number n which added to its sum of digits gives 2009470400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009470403) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 28302365 + ... + 28302435.

Almost surely, 2^2009470400 is an apocalyptic number.

2009470400 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 2009470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077993844).

2009470400 is an abundant number, since it is smaller than the sum of its proper divisors (4146517288).

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

2009470400 is a wasteful number, since it uses less digits than its factorization.

2009470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2009470400 is about 44827.1167932982. The cubic root of 2009470400 is about 1261.9065786115.

The spelling of 2009470400 in words is "two billion, nine million, four hundred seventy thousand, four hundred".