2212233042400 has 72 divisors (see below), whose sum is σ = 5404234122504. Its totient is φ = 884300044800.

The previous prime is 2212233042391. The next prime is 2212233042421. The reversal of 2212233042400 is 42403322122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268315 + ... + 2120485.

It is an arithmetic number, because the mean of its divisors is an integer number (75058807257).

Almost surely, 2^{2212233042400} is an apocalyptic number.

2212233042400 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 2212233042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702117061252).

2212233042400 is an abundant number, since it is smaller than the sum of its proper divisors (3192001080104).

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

2212233042400 is a wasteful number, since it uses less digits than its factorization.

2212233042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853684 (or 1853671 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2212233042400 its reverse (42403322122), we get a palindrome (2254636364522).

It can be divided in two parts, 221223 and 3042400, that added together give a palindrome (3263623).

The spelling of 2212233042400 in words is "two trillion, two hundred twelve billion, two hundred thirty-three million, forty-two thousand, four hundred".