2199613248000 has 960 divisors, whose sum is σ = 9088998766848. Its totient is φ = 500849049600.

The previous prime is 2199613247987. The next prime is 2199613248029. The reversal of 2199613248000 is 8423169912.

2199613248000 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 613 + 24 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×2199613248000³ (a number of 38 digits) contains 333 as substring.

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, 1237823112 + ... + 1237824888.

Almost surely, 2^{2199613248000} is an apocalyptic number.

2199613248000 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 2199613248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544499383424).

2199613248000 is an abundant number, since it is smaller than the sum of its proper divisors (6889385518848).

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

2199613248000 is a wasteful number, since it uses less digits than its factorization.

2199613248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2199613248000 in words is "two trillion, one hundred ninety-nine billion, six hundred thirteen million, two hundred forty-eight thousand".