2009704800 has 72 divisors (see below), whose sum is σ = 6541596936. Its totient is φ = 535920640.

The previous prime is 2009704799. The next prime is 2009704847. The reversal of 2009704800 is 84079002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416289 + ... + 421088.

It is an arithmetic number, because the mean of its divisors is an integer number (90855513).

Almost surely, 2^2009704800 is an apocalyptic number.

2009704800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2009704800 is an abundant number, since it is smaller than the sum of its proper divisors (4531892136).

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

2009704800 is a wasteful number, since it uses less digits than its factorization.

2009704800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837400 (or 837387 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2009704800 is about 44829.7312059753. The cubic root of 2009704800 is about 1261.9556428494.

The spelling of 2009704800 in words is "two billion, nine million, seven hundred four thousand, eight hundred".