240100000000 has 405 divisors, whose sum is σ = 698881966391. Its totient is φ = 82320000000.

The previous prime is 240099999989. The next prime is 240100000009. The reversal of 240100000000 is 1042.

The square root of 240100000000 is 490000.

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

It can be written as a sum of positive squares in 4 ways, for example, as 170707796224 + 69392203776 = 413168^2 + 263424^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (240100000009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34299999997 + ... + 34300000003.

Almost surely, 2^240100000000 is an apocalyptic number.

240100000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

240100000000 is the 490000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240100000000

240100000000 is an abundant number, since it is smaller than the sum of its proper divisors (458781966391).

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

240100000000 is an frugal number, since it uses more digits than its factorization.

240100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 240100000000 its reverse (1042), we get a palindrome (240100001042).

The spelling of 240100000000 in words is "two hundred forty billion, one hundred million", and thus it is an aban number.