2661146208 has 144 divisors (see below), whose sum is σ = 8670445056. Its totient is φ = 758419200.

The previous prime is 2661146179. The next prime is 2661146231. The reversal of 2661146208 is 8026411662.

2661146208 is a `hidden beast` number, since 26 + 6 + 1 + 1 + 4 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931983 + ... + 934833.

It is an arithmetic number, because the mean of its divisors is an integer number (60211424).

Almost surely, 2^2661146208 is an apocalyptic number.

2661146208 is a gapful number since it is divisible by the number (28) 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 2661146208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335222528).

2661146208 is an abundant number, since it is smaller than the sum of its proper divisors (6009298848).

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

2661146208 is a wasteful number, since it uses less digits than its factorization.

2661146208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2661146208 is about 51586.2986460552. The cubic root of 2661146208 is about 1385.7649695484.

The spelling of 2661146208 in words is "two billion, six hundred sixty-one million, one hundred forty-six thousand, two hundred eight".