2002291200 has 720 divisors, whose sum is σ = 8865432576. Its totient is φ = 420249600.

The previous prime is 2002291199. The next prime is 2002291217. The reversal of 2002291200 is 21922002.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10483105 + ... + 10483295.

Almost surely, 2^2002291200 is an apocalyptic number.

2002291200 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 2002291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432716288).

2002291200 is an abundant number, since it is smaller than the sum of its proper divisors (6863141376).

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

2002291200 is a wasteful number, since it uses less digits than its factorization.

2002291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2002291200 is about 44746.9686124099. The cubic root of 2002291200 is about 1260.4019881389.

The spelling of 2002291200 in words is "two billion, two million, two hundred ninety-one thousand, two hundred".