2213013202400 has 1152 divisors, whose sum is σ = 7739054668800. Its totient is φ = 594690048000.

The previous prime is 2213013202391. The next prime is 2213013202427. The reversal of 2213013202400 is 42023103122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2028425855 + ... + 2028426945.

It is an arithmetic number, because the mean of its divisors is an integer number (6717929400).

Almost surely, 2^{2213013202400} is an apocalyptic number.

2213013202400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213013202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869527334400).

2213013202400 is an abundant number, since it is smaller than the sum of its proper divisors (5526041466400).

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

2213013202400 is a wasteful number, since it uses less digits than its factorization.

2213013202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2213013202400 its reverse (42023103122), we get a palindrome (2255036305522).

The spelling of 2213013202400 in words is "two trillion, two hundred thirteen billion, thirteen million, two hundred two thousand, four hundred".