2199920228352 has 1728 divisors, whose sum is σ = 8792657153280. Its totient is φ = 536043847680.

The previous prime is 2199920228333. The next prime is 2199920228377. The reversal of 2199920228352 is 2538220299912.

It is a happy number.

2199920228352 is a `hidden beast` number, since 21 + 9 + 99 + 202 + 283 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×2199920228352² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 7165863783 + ... + 7165864089.

It is an arithmetic number, because the mean of its divisors is an integer number (5088343260).

Almost surely, 2^{2199920228352} is an apocalyptic number.

2199920228352 is a gapful number since it is divisible by the number (22) 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 2199920228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396328576640).

2199920228352 is an abundant number, since it is smaller than the sum of its proper divisors (6592736924928).

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

2199920228352 is a wasteful number, since it uses less digits than its factorization.

2199920228352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2199920228352 in words is "two trillion, one hundred ninety-nine billion, nine hundred twenty million, two hundred twenty-eight thousand, three hundred fifty-two".