2166450048 has 384 divisors, whose sum is σ = 7509827520. Its totient is φ = 586579968.

The previous prime is 2166450047. The next prime is 2166450061. The reversal of 2166450048 is 8400546612.

2166450048 is a `hidden beast` number, since 2 + 1 + 6 + 645 + 0 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 2166449994 and 2166450021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166450047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15813436 + ... + 15813572.

Almost surely, 2^2166450048 is an apocalyptic number.

2166450048 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 2166450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754913760).

2166450048 is an abundant number, since it is smaller than the sum of its proper divisors (5343377472).

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

2166450048 is a wasteful number, since it uses less digits than its factorization.

2166450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2166450048 is about 46545.1398966638. The cubic root of 2166450048 is about 1293.9462212496.

The spelling of 2166450048 in words is "two billion, one hundred sixty-six million, four hundred fifty thousand, forty-eight".