241680392100 has 243 divisors, whose sum is σ = 881589330531. Its totient is φ = 55217635200.

The previous prime is 241680392089. The next prime is 241680392131. The reversal of 241680392100 is 1293086142.

The square root of 241680392100 is 491610.

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

241680392100 is a `hidden beast` number, since 2 + 4 + 168 + 0 + 392 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41293476 + 241639098624 = 6426^2 + 491568^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 103236930 + ... + 103239270.

Almost surely, 2^241680392100 is an apocalyptic number.

241680392100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

241680392100 is the 491610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241680392100

241680392100 is an abundant number, since it is smaller than the sum of its proper divisors (639908938431).

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

241680392100 is a wasteful number, since it uses less digits than its factorization.

241680392100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 241680392100 by its sum of digits (36), we get a square (8700494115600 = 2949660²).

241680392100 divided by its sum of digits (36) gives a square (6713344225 = 81935²).

The spelling of 241680392100 in words is "two hundred forty-one billion, six hundred eighty million, three hundred ninety-two thousand, one hundred".