2400673615100 has 144 divisors (see below), whose sum is σ = 5723971142400. Its totient is φ = 869885406720.

The previous prime is 2400673615069. The next prime is 2400673615103. The reversal of 2400673615100 is 15163760042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400673615103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 165135032 + ... + 165149568.

It is an arithmetic number, because the mean of its divisors is an integer number (39749799600).

Almost surely, 2^{2400673615100} is an apocalyptic number.

2400673615100 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 2400673615100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861985571200).

2400673615100 is an abundant number, since it is smaller than the sum of its proper divisors (3323297527300).

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

2400673615100 is a wasteful number, since it uses less digits than its factorization.

2400673615100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18372 (or 18365 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 2400673615100 in words is "two trillion, four hundred billion, six hundred seventy-three million, six hundred fifteen thousand, one hundred".