2402401213100 has 144 divisors (see below), whose sum is σ = 5978699713728. Its totient is φ = 820817141760.

The previous prime is 2402401212979. The next prime is 2402401213153. The reversal of 2402401213100 is 13121042042.

2402401213100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2402401213100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288850142 + ... + 288858458.

It is an arithmetic number, because the mean of its divisors is an integer number (41518748012).

Almost surely, 2^{2402401213100} is an apocalyptic number.

2402401213100 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 2402401213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989349856864).

2402401213100 is an abundant number, since it is smaller than the sum of its proper divisors (3576298500628).

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

2402401213100 is a wasteful number, since it uses less digits than its factorization.

2402401213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9717 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2402401213100 its reverse (13121042042), we get a palindrome (2415522255142).

The spelling of 2402401213100 in words is "two trillion, four hundred two billion, four hundred one million, two hundred thirteen thousand, one hundred".