2398608026100 has 864 divisors, whose sum is σ = 9191730441600. Its totient is φ = 531875635200.

The previous prime is 2398608026093. The next prime is 2398608026147. The reversal of 2398608026100 is 16208068932.

2398608026100 is a `hidden beast` number, since 2 + 3 + 9 + 8 + 608 + 0 + 26 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 567178786 + ... + 567183014.

It is an arithmetic number, because the mean of its divisors is an integer number (10638576900).

Almost surely, 2^{2398608026100} is an apocalyptic number.

2398608026100 is a gapful number since it is divisible by the number (20) 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 2398608026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595865220800).

2398608026100 is an abundant number, since it is smaller than the sum of its proper divisors (6793122415500).

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

2398608026100 is a wasteful number, since it uses less digits than its factorization.

2398608026100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2398608026100 in words is "two trillion, three hundred ninety-eight billion, six hundred eight million, twenty-six thousand, one hundred".