2219074668400 has 240 divisors, whose sum is σ = 5760254757600. Its totient is φ = 818767872000.

The previous prime is 2219074668353. The next prime is 2219074668403. The reversal of 2219074668400 is 48664709122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219074668403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162336766 + ... + 162350434.

It is an arithmetic number, because the mean of its divisors is an integer number (24001061490).

Almost surely, 2^{2219074668400} is an apocalyptic number.

2219074668400 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 2219074668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880127378800).

2219074668400 is an abundant number, since it is smaller than the sum of its proper divisors (3541180089200).

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

2219074668400 is a wasteful number, since it uses less digits than its factorization.

2219074668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14268 (or 14257 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 2219074668400 in words is "two trillion, two hundred nineteen billion, seventy-four million, six hundred sixty-eight thousand, four hundred".