2002624400 has 60 divisors (see below), whose sum is σ = 5498642112. Its totient is φ = 686613120.

The previous prime is 2002624373. The next prime is 2002624427. The reversal of 2002624400 is 44262002.

It is an interprime number because it is at equal distance from previous prime (2002624373) and next prime (2002624427).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 354812 + ... + 360411.

Almost surely, 2^2002624400 is an apocalyptic number.

2002624400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002624400 is an abundant number, since it is smaller than the sum of its proper divisors (3496017712).

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

2002624400 is a wasteful number, since it uses less digits than its factorization.

2002624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715248 (or 715237 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2002624400 is about 44750.6916147673. The cubic root of 2002624400 is about 1260.4718984911.

Adding to 2002624400 its reverse (44262002), we get a palindrome (2046886402).

The spelling of 2002624400 in words is "two billion, two million, six hundred twenty-four thousand, four hundred".