2213079552 has 120 divisors (see below), whose sum is σ = 6607741140. Its totient is φ = 712212480.

The previous prime is 2213079529. The next prime is 2213079563. The reversal of 2213079552 is 2559703122.

2213079552 is a `hidden beast` number, since 2 + 2 + 1 + 30 + 79 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2048829696 + 164249856 = 45264^2 + 12816^2 .

It is a super-2 number, since 2×2213079552² = 9795442206961041408, which contains 22 as substring.

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

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, 125352 + ... + 141912.

Almost surely, 2^2213079552 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 2213079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303870570).

2213079552 is an abundant number, since it is smaller than the sum of its proper divisors (4394661588).

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

2213079552 is a wasteful number, since it uses less digits than its factorization.

2213079552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16614 (or 16595 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2213079552 is about 47043.3794704420. The cubic root of 2213079552 is about 1303.1638032922.

The spelling of 2213079552 in words is "two billion, two hundred thirteen million, seventy-nine thousand, five hundred fifty-two".