2992120570800 has 480 divisors, whose sum is σ = 11314876426560. Its totient is φ = 748387123200.

The previous prime is 2992120570763. The next prime is 2992120570801. The reversal of 2992120570800 is 80750212992.

It is a happy number.

2992120570800 is a `hidden beast` number, since 299 + 212 + 0 + 5 + 70 + 80 + 0 = 666.

It is a super-3 number, since 3×2992120570800³ (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 not an unprimeable number, because it can be changed into a prime (2992120570801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 53766990 + ... + 53822610.

It is an arithmetic number, because the mean of its divisors is an integer number (23572659222).

Almost surely, 2^{2992120570800} is an apocalyptic number.

2992120570800 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 2992120570800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657438213280).

2992120570800 is an abundant number, since it is smaller than the sum of its proper divisors (8322755855760).

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

2992120570800 is a wasteful number, since it uses less digits than its factorization.

2992120570800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55958 (or 55941 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2992120570800 in words is "two trillion, nine hundred ninety-two billion, one hundred twenty million, five hundred seventy thousand, eight hundred".