2002424420400 has 60 divisors (see below), whose sum is σ = 6414432897192. Its totient is φ = 533979845120.

The previous prime is 2002424420387. The next prime is 2002424420407. The reversal of 2002424420400 is 40244242002.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2002424420407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834342309 + ... + 834344708.

Almost surely, 2^{2002424420400} is an apocalyptic number.

2002424420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002424420400 is an abundant number, since it is smaller than the sum of its proper divisors (4412008476792).

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

2002424420400 is a wasteful number, since it uses less digits than its factorization.

2002424420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668687038 (or 1668687027 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2002424420400 its reverse (40244242002), we get a palindrome (2042668662402).

The spelling of 2002424420400 in words is "two trillion, two billion, four hundred twenty-four million, four hundred twenty thousand, four hundred".