2161752684100 has 27 divisors (see below), whose sum is σ = 4691035230007. Its totient is φ = 864695192480.

The previous prime is 2161752684053. The next prime is 2161752684107. The reversal of 2161752684100 is 14862571612.

The square root of 2161752684100 is 1470290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 160908485956 + 2000844198144 = 401134^2 + 1414512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2161752684107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14629386 + ... + 14776414.

Almost surely, 2^{2161752684100} is an apocalyptic number.

2161752684100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2161752684100 is the 1470290-th square number.

It is an amenable number.

2161752684100 is an abundant number, since it is smaller than the sum of its proper divisors (2529282545907).

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

2161752684100 is an frugal number, since it uses more digits than its factorization.

2161752684100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294072 (or 147036 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 2161752684100 in words is "two trillion, one hundred sixty-one billion, seven hundred fifty-two million, six hundred eighty-four thousand, one hundred".