2213975400 has 768 divisors, whose sum is σ = 9239408640. Its totient is φ = 425779200.

The previous prime is 2213975371. The next prime is 2213975417. The reversal of 2213975400 is 45793122.

2213975400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 51487779 + ... + 51487821.

It is an arithmetic number, because the mean of its divisors is an integer number (12030480).

Almost surely, 2^2213975400 is an apocalyptic number.

2213975400 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 2213975400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619704320).

2213975400 is an abundant number, since it is smaller than the sum of its proper divisors (7025433240).

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

2213975400 is a wasteful number, since it uses less digits than its factorization.

2213975400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2213975400 is about 47052.9000168959. The cubic root of 2213975400 is about 1303.3396185111.

The spelling of 2213975400 in words is "two billion, two hundred thirteen million, nine hundred seventy-five thousand, four hundred".