2201768352 has 288 divisors, whose sum is σ = 7546271040. Its totient is φ = 622702080.

The previous prime is 2201768341. The next prime is 2201768411. The reversal of 2201768352 is 2538671022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 5545818 + ... + 5546214.

It is an arithmetic number, because the mean of its divisors is an integer number (26202330).

Almost surely, 2^2201768352 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 2201768352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773135520).

2201768352 is an abundant number, since it is smaller than the sum of its proper divisors (5344502688).

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

2201768352 is a wasteful number, since it uses less digits than its factorization.

2201768352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2201768352 is about 46923.0045073842. The cubic root of 2201768352 is about 1300.9398237519.

The spelling of 2201768352 in words is "two billion, two hundred one million, seven hundred sixty-eight thousand, three hundred fifty-two".