2106114048 has 270 divisors, whose sum is σ = 6595734964. Its totient is φ = 671514624.

The previous prime is 2106114041. The next prime is 2106114097. The reversal of 2106114048 is 8404116012.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2106114048 is a `hidden beast` number, since 2 + 1 + 0 + 611 + 4 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2106114041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 91570165 + ... + 91570187.

Almost surely, 2^2106114048 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 2106114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297867482).

2106114048 is an abundant number, since it is smaller than the sum of its proper divisors (4489620916).

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

2106114048 is an frugal number, since it uses more digits than its factorization.

2106114048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2106114048 is about 45892.4181973450. The cubic root of 2106114048 is about 1281.8207421818.

Multiplying 2106114048 by its sum of digits (27), we get a square (56865079296 = 238464²).

2106114048 divided by its sum of digits (27) gives a square (78004224 = 8832²).

The spelling of 2106114048 in words is "two billion, one hundred six million, one hundred fourteen thousand, forty-eight".