2221190400 has 432 divisors, whose sum is σ = 8622573120. Its totient is φ = 496435200.

The previous prime is 2221190399. The next prime is 2221190407. The reversal of 2221190400 is 40911222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221190407) 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, 2745196 + ... + 2746004.

It is an arithmetic number, because the mean of its divisors is an integer number (19959660).

Almost surely, 2^2221190400 is an apocalyptic number.

2221190400 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 2221190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311286560).

2221190400 is an abundant number, since it is smaller than the sum of its proper divisors (6401382720).

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

2221190400 is a wasteful number, since it uses less digits than its factorization.

2221190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2221190400 is about 47129.5066810592. The cubic root of 2221190400 is about 1304.7538767502.

The spelling of 2221190400 in words is "two billion, two hundred twenty-one million, one hundred ninety thousand, four hundred".