2213011002400 has 72 divisors (see below), whose sum is σ = 5893650688464. Its totient is φ = 804731270400.

The previous prime is 2213011002373. The next prime is 2213011002431. The reversal of 2213011002400 is 42001103122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125730462 + ... + 125748061.

It is an arithmetic number, because the mean of its divisors is an integer number (81856259562).

Almost surely, 2^{2213011002400} is an apocalyptic number.

2213011002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213011002400 is an abundant number, since it is smaller than the sum of its proper divisors (3680639686064).

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

2213011002400 is a wasteful number, since it uses less digits than its factorization.

2213011002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251478554 (or 251478541 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2213011002400 its reverse (42001103122), we get a palindrome (2255012105522).

The spelling of 2213011002400 in words is "two trillion, two hundred thirteen billion, eleven million, two thousand, four hundred".