2002784471352 has 96 divisors (see below), whose sum is σ = 6563747455200. Its totient is φ = 538563889152.

The previous prime is 2002784471291. The next prime is 2002784471357. The reversal of 2002784471352 is 2531744872002.

2002784471352 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 78 + 447 + 135 + 2 = 666.

It is a super-2 number, since 2×2002784471352² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002784471298 and 2002784471307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002784471357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116867277 + ... + 116884412.

It is an arithmetic number, because the mean of its divisors is an integer number (68372369325).

Almost surely, 2^{2002784471352} is an apocalyptic number.

It is an amenable number.

2002784471352 is an abundant number, since it is smaller than the sum of its proper divisors (4560962983848).

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

2002784471352 is a wasteful number, since it uses less digits than its factorization.

2002784471352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233751725 (or 233751718 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2002784471352 in words is "two trillion, two billion, seven hundred eighty-four million, four hundred seventy-one thousand, three hundred fifty-two".