2004120214002 has 48 divisors (see below), whose sum is σ = 4380846093312. Its totient is φ = 662114386080.

The previous prime is 2004120213983. The next prime is 2004120214123.

2004120214002 is a `hidden beast` number, since 20 + 0 + 41 + 202 + 1 + 400 + 2 = 666.

2004120214002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1839477 + ... + 2718807.

It is an arithmetic number, because the mean of its divisors is an integer number (91267626944).

Almost surely, 2^{2004120214002} is an apocalyptic number.

2004120214002 is an abundant number, since it is smaller than the sum of its proper divisors (2376725879310).

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

2004120214002 is a wasteful number, since it uses less digits than its factorization.

2004120214002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880463 (or 880460 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 2004120 and 214002, that added together give a palindrome (2218122).

The spelling of 2004120214002 in words is "two trillion, four billion, one hundred twenty million, two hundred fourteen thousand, two".