2009764800 has 252 divisors, whose sum is σ = 7185812400. Its totient is φ = 532746240.

The previous prime is 2009764789. The next prime is 2009764811. The reversal of 2009764800 is 84679002.

2009764800 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 7 + 648 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2009764789) and next prime (2009764811).

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 35 ways as a sum of consecutive naturals, for example, 3354901 + ... + 3355499.

Almost surely, 2^2009764800 is an apocalyptic number.

2009764800 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 2009764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592906200).

2009764800 is an abundant number, since it is smaller than the sum of its proper divisors (5176047600).

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

2009764800 is a wasteful number, since it uses less digits than its factorization.

2009764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2009764800 is about 44830.4003997288. The cubic root of 2009764800 is about 1261.9682013415.

The spelling of 2009764800 in words is "two billion, nine million, seven hundred sixty-four thousand, eight hundred".