2212894080 has 576 divisors, whose sum is σ = 8672676480. Its totient is φ = 537477120.

The previous prime is 2212894003. The next prime is 2212894087. The reversal of 2212894080 is 804982122.

2212894080 is a `hidden beast` number, since 221 + 28 + 9 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212894087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71383665 + ... + 71383695.

It is an arithmetic number, because the mean of its divisors is an integer number (15056730).

Almost surely, 2^2212894080 is an apocalyptic number.

2212894080 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 2212894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336338240).

2212894080 is an abundant number, since it is smaller than the sum of its proper divisors (6459782400).

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

2212894080 is an frugal number, since it uses more digits than its factorization.

2212894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2212894080 is about 47041.4081421889. The cubic root of 2212894080 is about 1303.1273974388.

The spelling of 2212894080 in words is "two billion, two hundred twelve million, eight hundred ninety-four thousand, eighty".