2002853959128 has 320 divisors, whose sum is σ = 6258463833600. Its totient is φ = 593211790080.

The previous prime is 2002853959123. The next prime is 2002853959129. The reversal of 2002853959128 is 8219593582002.

It is a happy number.

2002853959128 is a `hidden beast` number, since 2 + 0 + 0 + 28 + 5 + 3 + 9 + 591 + 28 = 666.

It is a super-2 number, since 2×2002853959128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002853959123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 277054618 + ... + 277061846.

It is an arithmetic number, because the mean of its divisors is an integer number (19557699480).

Almost surely, 2^{2002853959128} 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 2002853959128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129231916800).

2002853959128 is an abundant number, since it is smaller than the sum of its proper divisors (4255609874472).

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

2002853959128 is a wasteful number, since it uses less digits than its factorization.

2002853959128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8132 (or 8119 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 2002853959128 in words is "two trillion, two billion, eight hundred fifty-three million, nine hundred fifty-nine thousand, one hundred twenty-eight".