2106752000 has 176 divisors, whose sum is σ = 5339231040. Its totient is φ = 829440000.

The previous prime is 2106751987. The next prime is 2106752003. The reversal of 2106752000 is 2576012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106752003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13951925 + ... + 13952075.

It is an arithmetic number, because the mean of its divisors is an integer number (30336540).

Almost surely, 2^2106752000 is an apocalyptic number.

2106752000 is a gapful number since it is divisible by the number (20) 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 2106752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669615520).

2106752000 is an abundant number, since it is smaller than the sum of its proper divisors (3232479040).

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

2106752000 is a wasteful number, since it uses less digits than its factorization.

2106752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2106752000 is about 45899.3681873727. The cubic root of 2106752000 is about 1281.9501523238.

The spelling of 2106752000 in words is "two billion, one hundred six million, seven hundred fifty-two thousand".