2106048672 has 576 divisors, whose sum is σ = 8123431680. Its totient is φ = 501645312.

The previous prime is 2106048671. The next prime is 2106048691. The reversal of 2106048672 is 2768406012.

2106048672 is a `hidden beast` number, since 2 + 106 + 0 + 486 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2106048671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12920463 + ... + 12920625.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 2^2106048672 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 2106048672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061715840).

2106048672 is an abundant number, since it is smaller than the sum of its proper divisors (6017383008).

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

2106048672 is a wasteful number, since it uses less digits than its factorization.

2106048672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2106048672 is about 45891.7059173006. The cubic root of 2106048672 is about 1281.8074790223.

The spelling of 2106048672 in words is "two billion, one hundred six million, forty-eight thousand, six hundred seventy-two".