2112572880 has 480 divisors, whose sum is σ = 8193225600. Its totient is φ = 499783680.

The previous prime is 2112572849. The next prime is 2112572897. The reversal of 2112572880 is 882752112.

2112572880 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 572 + 8 + 80 = 666.

It is a super-2 number, since 2×2112572880² = 8925928346622988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15420172 + ... + 15420308.

It is an arithmetic number, because the mean of its divisors is an integer number (17069220).

Almost surely, 2^2112572880 is an apocalyptic number.

2112572880 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 2112572880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096612800).

2112572880 is an abundant number, since it is smaller than the sum of its proper divisors (6080652720).

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

2112572880 is a wasteful number, since it uses less digits than its factorization.

2112572880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2112572880 is about 45962.7336001679. The cubic root of 2112572880 is about 1283.1297273360.

The spelling of 2112572880 in words is "two billion, one hundred twelve million, five hundred seventy-two thousand, eight hundred eighty".