2189607552 has 320 divisors, whose sum is σ = 7233399360. Its totient is φ = 651939840.

The previous prime is 2189607473. The next prime is 2189607617. The reversal of 2189607552 is 2557069812.

2189607552 is a `hidden beast` number, since 2 + 1 + 8 + 96 + 0 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2189607498 and 2189607507.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8325373 + ... + 8325635.

It is an arithmetic number, because the mean of its divisors is an integer number (22604373).

Almost surely, 2^2189607552 is an apocalyptic number.

2189607552 is a gapful number since it is divisible by the number (22) 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 2189607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616699680).

2189607552 is an abundant number, since it is smaller than the sum of its proper divisors (5043791808).

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

2189607552 is a wasteful number, since it uses less digits than its factorization.

2189607552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2189607552 is about 46793.2425890748. The cubic root of 2189607552 is about 1298.5402850327.

The spelling of 2189607552 in words is "two billion, one hundred eighty-nine million, six hundred seven thousand, five hundred fifty-two".