2002015491840 has 2304 divisors, whose sum is σ = 9190818201600. Its totient is φ = 406332702720.

The previous prime is 2002015491797. The next prime is 2002015491881. The reversal of 2002015491840 is 481945102002.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2002015491795 and 2002015491804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7387510905 + ... + 7387511175.

It is an arithmetic number, because the mean of its divisors is an integer number (3989070400).

Almost surely, 2^{2002015491840} is an apocalyptic number.

2002015491840 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 2002015491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595409100800).

2002015491840 is an abundant number, since it is smaller than the sum of its proper divisors (7188802709760).

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

2002015491840 is an equidigital number, since it uses as much as digits as its factorization.

2002015491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2002015491840 in words is "two trillion, two billion, fifteen million, four hundred ninety-one thousand, eight hundred forty".