2002053860352 has 2112 divisors, whose sum is σ = 8112644198400. Its totient is φ = 481579499520.

The previous prime is 2002053860309. The next prime is 2002053860369. The reversal of 2002053860352 is 2530683502002.

2002053860352 is a `hidden beast` number, since 20 + 0 + 20 + 5 + 3 + 8 + 603 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10373335968 + ... + 10373336160.

Almost surely, 2^{2002053860352} 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 2002053860352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056322099200).

2002053860352 is an abundant number, since it is smaller than the sum of its proper divisors (6110590338048).

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

2002053860352 is a wasteful number, since it uses less digits than its factorization.

2002053860352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2002053860352 in words is "two trillion, two billion, fifty-three million, eight hundred sixty thousand, three hundred fifty-two".