2112956928 has 360 divisors, whose sum is σ = 6886062612. Its totient is φ = 644972544.

The previous prime is 2112956861. The next prime is 2112956941. The reversal of 2112956928 is 8296592112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1829101824 + 283855104 = 42768^2 + 16848^2 .

Its product of digits (155520) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57106926 + ... + 57106962.

Almost surely, 2^2112956928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443031306).

2112956928 is an abundant number, since it is smaller than the sum of its proper divisors (4773105684).

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

2112956928 is an frugal number, since it uses more digits than its factorization.

2112956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 2112956928 is about 45966.9112297096. The cubic root of 2112956928 is about 1283.2074766927.

The spelling of 2112956928 in words is "two billion, one hundred twelve million, nine hundred fifty-six thousand, nine hundred twenty-eight".