2213019125400 has 192 divisors, whose sum is σ = 6967623329280. Its totient is φ = 580923763200.

The previous prime is 2213019125393. The next prime is 2213019125419. The reversal of 2213019125400 is 45219103122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 59758890 + ... + 59795910.

It is an arithmetic number, because the mean of its divisors is an integer number (36289704840).

Almost surely, 2^{2213019125400} is an apocalyptic number.

2213019125400 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 2213019125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483811664640).

2213019125400 is an abundant number, since it is smaller than the sum of its proper divisors (4754604203880).

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

2213019125400 is a wasteful number, since it uses less digits than its factorization.

2213019125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38594 (or 38585 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 2213019125400 in words is "two trillion, two hundred thirteen billion, nineteen million, one hundred twenty-five thousand, four hundred".