2278167552 has 352 divisors, whose sum is σ = 7392781440. Its totient is φ = 690094080.

The previous prime is 2278167533. The next prime is 2278167553. The reversal of 2278167552 is 2557618722.

2278167552 is a `hidden beast` number, since 22 + 78 + 1 + 6 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2278167498 and 2278167507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278167553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17390527 + ... + 17390657.

It is an arithmetic number, because the mean of its divisors is an integer number (21002220).

Almost surely, 2^2278167552 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 2278167552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696390720).

2278167552 is an abundant number, since it is smaller than the sum of its proper divisors (5114613888).

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

2278167552 is a wasteful number, since it uses less digits than its factorization.

2278167552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 2278167552 is about 47730.1534881253. The cubic root of 2278167552 is about 1315.8161745927.

The spelling of 2278167552 in words is "two billion, two hundred seventy-eight million, one hundred sixty-seven thousand, five hundred fifty-two".