2009924280 has 640 divisors, whose sum is σ = 8825604480. Its totient is φ = 398131200.

The previous prime is 2009924261. The next prime is 2009924317. The reversal of 2009924280 is 824299002.

It is a super-2 number, since 2×2009924280² = 8079591222667036800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5012080 + ... + 5012480.

It is an arithmetic number, because the mean of its divisors is an integer number (13790007).

Almost surely, 2^2009924280 is an apocalyptic number.

2009924280 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 2009924280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412802240).

2009924280 is an abundant number, since it is smaller than the sum of its proper divisors (6815680200).

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

2009924280 is a wasteful number, since it uses less digits than its factorization.

2009924280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2009924280 is about 44832.1790681649. The cubic root of 2009924280 is about 1262.0015805982.

The spelling of 2009924280 in words is "two billion, nine million, nine hundred twenty-four thousand, two hundred eighty".