2002640024 has 96 divisors (see below), whose sum is σ = 4736353440. Its totient is φ = 777047040.

The previous prime is 2002640011. The next prime is 2002640041. The reversal of 2002640024 is 4200462002.

It is a junction number, because it is equal to n+sod(n) for n = 2002639978 and 2002640005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2283074 + ... + 2283950.

It is an arithmetic number, because the mean of its divisors is an integer number (49337015).

Almost surely, 2^2002640024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002640024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368176720).

2002640024 is an abundant number, since it is smaller than the sum of its proper divisors (2733713416).

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

2002640024 is a wasteful number, since it uses less digits than its factorization.

2002640024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2002640024 is about 44750.8661815612. The cubic root of 2002640024 is about 1260.4751764501.

The spelling of 2002640024 in words is "two billion, two million, six hundred forty thousand, twenty-four".