2199214062720 has 768 divisors, whose sum is σ = 8147962368000. Its totient is φ = 545368965120.

The previous prime is 2199214062673. The next prime is 2199214062739. The reversal of 2199214062720 is 272604129912.

2199214062720 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 2 + 14 + 0 + 627 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1237598472 + ... + 1237600248.

It is an arithmetic number, because the mean of its divisors is an integer number (10609326000).

Almost surely, 2^{2199214062720} is an apocalyptic number.

2199214062720 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 2199214062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073981184000).

2199214062720 is an abundant number, since it is smaller than the sum of its proper divisors (5948748305280).

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

2199214062720 is a wasteful number, since it uses less digits than its factorization.

2199214062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2199214062720 in words is "two trillion, one hundred ninety-nine billion, two hundred fourteen million, sixty-two thousand, seven hundred twenty".