2188364380400 has 60 divisors (see below), whose sum is σ = 5735504110344. Its totient is φ = 795768864000.

The previous prime is 2188364380373. The next prime is 2188364380427. The reversal of 2188364380400 is 40834638812.

It is an interprime number because it is at equal distance from previous prime (2188364380373) and next prime (2188364380427).

It is a super-2 number, since 2×2188364380400² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 248673371 + ... + 248682170.

Almost surely, 2^{2188364380400} is an apocalyptic number.

2188364380400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2188364380400 is an abundant number, since it is smaller than the sum of its proper divisors (3547139729944).

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

2188364380400 is a wasteful number, since it uses less digits than its factorization.

2188364380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497355570 (or 497355559 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The spelling of 2188364380400 in words is "two trillion, one hundred eighty-eight billion, three hundred sixty-four million, three hundred eighty thousand, four hundred".