2421020004004 has 192 divisors, whose sum is σ = 5389203456000. Its totient is φ = 927774904320.

The previous prime is 2421020003999. The next prime is 2421020004019. The reversal of 2421020004004 is 4004000201242.

It is a super-2 number, since 2×2421020004004² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 887144112 + ... + 887146840.

It is an arithmetic number, because the mean of its divisors is an integer number (28068768000).

Almost surely, 2^{2421020004004} 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 2421020004004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694601728000).

2421020004004 is an abundant number, since it is smaller than the sum of its proper divisors (2968183451996).

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

2421020004004 is a wasteful number, since it uses less digits than its factorization.

2421020004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 2421020004004 its reverse (4004000201242), we get a palindrome (6425020205246).

The spelling of 2421020004004 in words is "two trillion, four hundred twenty-one billion, twenty million, four thousand, four".