2213813952 has 168 divisors, whose sum is σ = 7371701792. Its totient is φ = 622080000.

The previous prime is 2213813951. The next prime is 2213813971. The reversal of 2213813952 is 2593183122.

2213813952 is a `hidden beast` number, since 221 + 381 + 3 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2213813951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241452 + ... + 250452.

Almost surely, 2^2213813952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685850896).

2213813952 is an abundant number, since it is smaller than the sum of its proper divisors (5157887840).

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

2213813952 is a wasteful number, since it uses less digits than its factorization.

2213813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9074 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 2213813952 is about 47051.1843846677. The cubic root of 2213813952 is about 1303.3079369350.

The spelling of 2213813952 in words is "two billion, two hundred thirteen million, eight hundred thirteen thousand, nine hundred fifty-two".