2002031640 has 320 divisors, whose sum is σ = 7881572160. Its totient is φ = 446238720.

The previous prime is 2002031567. The next prime is 2002031657. The reversal of 2002031640 is 461302002.

It is a happy number.

2002031640 is a `hidden beast` number, since 2 + 0 + 0 + 20 + 3 + 1 + 640 = 666.

It is a super-2 number, since 2×2002031640² = 8016261375122179200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 928804 + ... + 930956.

It is an arithmetic number, because the mean of its divisors is an integer number (24629913).

Almost surely, 2^2002031640 is an apocalyptic number.

2002031640 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 2002031640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940786080).

2002031640 is an abundant number, since it is smaller than the sum of its proper divisors (5879540520).

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

2002031640 is a wasteful number, since it uses less digits than its factorization.

2002031640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2002031640 is about 44744.0682102108. The cubic root of 2002031640 is about 1260.3475231877.

Adding to 2002031640 its reverse (461302002), we get a palindrome (2463333642).

The spelling of 2002031640 in words is "two billion, two million, thirty-one thousand, six hundred forty".