2992112000 has 128 divisors (see below), whose sum is σ = 7613892000. Its totient is φ = 1168742400.

The previous prime is 2992111973. The next prime is 2992112009. The reversal of 2992112000 is 2112992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685826 + ... + 690174.

Almost surely, 2^2992112000 is an apocalyptic number.

2992112000 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 2992112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806946000).

2992112000 is an abundant number, since it is smaller than the sum of its proper divisors (4621780000).

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

2992112000 is an equidigital number, since it uses as much as digits as its factorization.

2992112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 2992112000 is about 54700.2010965225. The cubic root of 2992112000 is about 1440.9844091918.

Adding to 2992112000 its reverse (2112992), we get a palindrome (2994224992).

The spelling of 2992112000 in words is "two billion, nine hundred ninety-two million, one hundred twelve thousand".