2002114240 has 112 divisors (see below), whose sum is σ = 5484278592. Its totient is φ = 681947136.

The previous prime is 2002114237. The next prime is 2002114243. The reversal of 2002114240 is 424112002.

It is an interprime number because it is at equal distance from previous prime (2002114237) and next prime (2002114243).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2002114240² = 8016922860021555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2002114243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348834 + ... + 354526.

Almost surely, 2^2002114240 is an apocalyptic number.

2002114240 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 2002114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742139296).

2002114240 is an abundant number, since it is smaller than the sum of its proper divisors (3482164352).

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

2002114240 is a wasteful number, since it uses less digits than its factorization.

2002114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2002114240 is about 44744.9912280693. The cubic root of 2002114240 is about 1260.3648561262.

Adding to 2002114240 its reverse (424112002), we get a palindrome (2426226242).

The spelling of 2002114240 in words is "two billion, two million, one hundred fourteen thousand, two hundred forty".