2002266240 has 256 divisors, whose sum is σ = 6952417920. Its totient is φ = 487194624.

The previous prime is 2002266229. The next prime is 2002266241. The reversal of 2002266240 is 426622002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2002266240.

It is not an unprimeable number, because it can be changed into a prime (2002266241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2420707 + ... + 2421533.

Almost surely, 2^2002266240 is an apocalyptic number.

2002266240 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 2002266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476208960).

2002266240 is an abundant number, since it is smaller than the sum of its proper divisors (4950151680).

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

2002266240 is a wasteful number, since it uses less digits than its factorization.

2002266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2002266240 is about 44746.6897099663. The cubic root of 2002266240 is about 1260.3967508447.

Adding to 2002266240 its reverse (426622002), we get a palindrome (2428888242).

The spelling of 2002266240 in words is "two billion, two million, two hundred sixty-six thousand, two hundred forty".