2047102243200 has 1440 divisors, whose sum is σ = 8891249617800. Its totient is φ = 462396211200.

The previous prime is 2047102243183. The next prime is 2047102243229. The reversal of 2047102243200 is 23422017402.

2047102243200 is a `hidden beast` number, since 204 + 7 + 1 + 0 + 22 + 432 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2047102243200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1130370295 + ... + 1130372105.

Almost surely, 2^{2047102243200} is an apocalyptic number.

2047102243200 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 2047102243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445624808900).

2047102243200 is an abundant number, since it is smaller than the sum of its proper divisors (6844147374600).

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

2047102243200 is a wasteful number, since it uses less digits than its factorization.

2047102243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 2047102243200 in words is "two trillion, forty-seven billion, one hundred two million, two hundred forty-three thousand, two hundred".