212791040 has 288 divisors, whose sum is σ = 678150144. Its totient is φ = 61931520.

The previous prime is 212791039. The next prime is 212791081. The reversal of 212791040 is 40197212.

212791040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675457 + ... + 1675583.

It is an arithmetic number, because the mean of its divisors is an integer number (2354688).

Almost surely, 2^212791040 is an apocalyptic number.

212791040 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 212791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339075072).

212791040 is an abundant number, since it is smaller than the sum of its proper divisors (465359104).

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

212791040 is a wasteful number, since it uses less digits than its factorization.

212791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 212791040 is about 14587.3589110572. The cubic root of 212791040 is about 597.0139041137.

The spelling of 212791040 in words is "two hundred twelve million, seven hundred ninety-one thousand, forty".