2189890193400 has 4032 divisors, whose sum is σ = 10804638146400. Its totient is φ = 406332702720.

The previous prime is 2189890193333. The next prime is 2189890193411. The reversal of 2189890193400 is 43910989812.

2189890193400 is a `hidden beast` number, since 218 + 9 + 8 + 9 + 0 + 19 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 29998495764 + ... + 29998495836.

Almost surely, 2^{2189890193400} is an apocalyptic number.

2189890193400 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 2189890193400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402319073200).

2189890193400 is an abundant number, since it is smaller than the sum of its proper divisors (8614747953000).

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

2189890193400 is a wasteful number, since it uses less digits than its factorization.

2189890193400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 2189890193400 in words is "two trillion, one hundred eighty-nine billion, eight hundred ninety million, one hundred ninety-three thousand, four hundred".