2213989514100 has 1728 divisors, whose sum is σ = 9608984985600. Its totient is φ = 412603269120.

The previous prime is 2213989514053. The next prime is 2213989514129. The reversal of 2213989514100 is 14159893122.

2213989514100 is a `hidden beast` number, since 2 + 21 + 3 + 9 + 8 + 9 + 514 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3359619571 + ... + 3359620229.

It is an arithmetic number, because the mean of its divisors is an integer number (5560755200).

Almost surely, 2^{2213989514100} is an apocalyptic number.

2213989514100 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 2213989514100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804492492800).

2213989514100 is an abundant number, since it is smaller than the sum of its proper divisors (7394995471500).

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

2213989514100 is a wasteful number, since it uses less digits than its factorization.

2213989514100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 2213989514100 in words is "two trillion, two hundred thirteen billion, nine hundred eighty-nine million, five hundred fourteen thousand, one hundred".