2187401382400 has 240 divisors, whose sum is σ = 5843913075000. Its totient is φ = 806607912960.

The previous prime is 2187401382379. The next prime is 2187401382403. The reversal of 2187401382400 is 42831047812.

It can be written as a sum of positive squares in 12 ways, for example, as 216589713664 + 1970811668736 = 465392^2 + 1403856^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2187401382403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134609476 + ... + 134625724.

Almost surely, 2^{2187401382400} is an apocalyptic number.

2187401382400 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 2187401382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921956537500).

2187401382400 is an abundant number, since it is smaller than the sum of its proper divisors (3656511692600).

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

2187401382400 is a wasteful number, since it uses less digits than its factorization.

2187401382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17099 (or 17078 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 2187401382400 in words is "two trillion, one hundred eighty-seven billion, four hundred one million, three hundred eighty-two thousand, four hundred".