2212943040 has 672 divisors, whose sum is σ = 10065129984. Its totient is φ = 432046080.

The previous prime is 2212943021. The next prime is 2212943087. The reversal of 2212943040 is 403492122.

2212943040 is a `hidden beast` number, since 221 + 2 + 9 + 430 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 2212942995 and 2212943013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3769627 + ... + 3770213.

It is an arithmetic number, because the mean of its divisors is an integer number (14977872).

Almost surely, 2^2212943040 is an apocalyptic number.

2212943040 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 2212943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032564992).

2212943040 is an abundant number, since it is smaller than the sum of its proper divisors (7852186944).

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

2212943040 is a wasteful number, since it uses less digits than its factorization.

2212943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2212943040 is about 47041.9285318959. The cubic root of 2212943040 is about 1303.1370078772.

The spelling of 2212943040 in words is "two billion, two hundred twelve million, nine hundred forty-three thousand, forty".