2101768704 has 240 divisors, whose sum is σ = 7236358272. Its totient is φ = 574193664.

The previous prime is 2101768687. The next prime is 2101768709. The reversal of 2101768704 is 4078671012.

It is a super-2 number, since 2×2101768704² = 8834863370227679232, which contains 22 as substring.

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 (2101768709) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 740472 + ... + 743304.

Almost surely, 2^2101768704 is an apocalyptic number.

2101768704 is a gapful number since it is divisible by the number (24) 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 2101768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618179136).

2101768704 is an abundant number, since it is smaller than the sum of its proper divisors (5134589568).

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

2101768704 is a wasteful number, since it uses less digits than its factorization.

2101768704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2101768704 is about 45845.0510306183. The cubic root of 2101768704 is about 1280.9385824331.

The spelling of 2101768704 in words is "two billion, one hundred one million, seven hundred sixty-eight thousand, seven hundred four".