2166254496 has 192 divisors, whose sum is σ = 7254696960. Its totient is φ = 616032000.

The previous prime is 2166254479. The next prime is 2166254501. The reversal of 2166254496 is 6944526612.

2166254496 is a `hidden beast` number, since 2 + 16 + 6 + 2 + 544 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517335 + ... + 1518761.

It is an arithmetic number, because the mean of its divisors is an integer number (37784880).

Almost surely, 2^2166254496 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 2166254496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627348480).

2166254496 is an abundant number, since it is smaller than the sum of its proper divisors (5088442464).

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

2166254496 is a wasteful number, since it uses less digits than its factorization.

2166254496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1690 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2166254496 is about 46543.0391788074. The cubic root of 2166254496 is about 1293.9072879133.

The spelling of 2166254496 in words is "two billion, one hundred sixty-six million, two hundred fifty-four thousand, four hundred ninety-six".