2002863582720 has 960 divisors, whose sum is σ = 9313422902784. Its totient is φ = 384161218560.

The previous prime is 2002863582719. The next prime is 2002863582961. The reversal of 2002863582720 is 272853682002.

It is a happy number.

2002863582720 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 8 + 63 + 582 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2002863582720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23019619 + ... + 23106461.

Almost surely, 2^{2002863582720} is an apocalyptic number.

2002863582720 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 2002863582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656711451392).

2002863582720 is an abundant number, since it is smaller than the sum of its proper divisors (7310559320064).

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

2002863582720 is a wasteful number, since it uses less digits than its factorization.

2002863582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86903 (or 86884 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2002863582720 in words is "two trillion, two billion, eight hundred sixty-three million, five hundred eighty-two thousand, seven hundred twenty".