2002863960 has 96 divisors (see below), whose sum is σ = 6553170000. Its totient is φ = 530498304.

The previous prime is 2002863949. The next prime is 2002863971. The reversal of 2002863960 is 693682002.

It is an interprime number because it is at equal distance from previous prime (2002863949) and next prime (2002863971).

It is a super-2 number, since 2×2002863960² = 8022928084533763200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34971 + ... + 72309.

Almost surely, 2^2002863960 is an apocalyptic number.

2002863960 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 2002863960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276585000).

2002863960 is an abundant number, since it is smaller than the sum of its proper divisors (4550306040).

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

2002863960 is a wasteful number, since it uses less digits than its factorization.

2002863960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37505 (or 37498 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2002863960 is about 44753.3681414036. The cubic root of 2002863960 is about 1260.5221569767.

The spelling of 2002863960 in words is "two billion, two million, eight hundred sixty-three thousand, nine hundred sixty".