2468360100 has 72 divisors (see below), whose sum is σ = 7293783168. Its totient is φ = 644220800.

The previous prime is 2468360093. The next prime is 2468360107. The reversal of 2468360100 is 10638642.

It is an interprime number because it is at equal distance from previous prime (2468360093) and next prime (2468360107).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2468360107) 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, 73431 + ... + 101630.

It is an arithmetic number, because the mean of its divisors is an integer number (101302544).

Almost surely, 2^2468360100 is an apocalyptic number.

2468360100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2468360100 is an abundant number, since it is smaller than the sum of its proper divisors (4825423068).

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

2468360100 is a wasteful number, since it uses less digits than its factorization.

2468360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175125 (or 175118 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2468360100 is about 49682.5935313365. The cubic root of 2468360100 is about 1351.4588892630.

Adding to 2468360100 its reverse (10638642), we get a palindrome (2478998742).

The spelling of 2468360100 in words is "two billion, four hundred sixty-eight million, three hundred sixty thousand, one hundred".