2009973504 has 288 divisors, whose sum is σ = 6840368640. Its totient is φ = 508723200.

The previous prime is 2009973491. The next prime is 2009973517. The reversal of 2009973504 is 4053799002.

It is an interprime number because it is at equal distance from previous prime (2009973491) and next prime (2009973517).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2424162 + ... + 2424990.

It is an arithmetic number, because the mean of its divisors is an integer number (23751280).

Almost surely, 2^2009973504 is an apocalyptic number.

2009973504 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 2009973504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420184320).

2009973504 is an abundant number, since it is smaller than the sum of its proper divisors (4830395136).

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

2009973504 is a wasteful number, since it uses less digits than its factorization.

2009973504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 2009973504 is about 44832.7280454803. The cubic root of 2009973504 is about 1262.0118828534.

The spelling of 2009973504 in words is "two billion, nine million, nine hundred seventy-three thousand, five hundred four".