215255040 has 576 divisors, whose sum is σ = 941129280. Its totient is φ = 41287680.

The previous prime is 215255021. The next prime is 215255057. The reversal of 215255040 is 40552512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 215255040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16558074 + ... + 16558086.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^215255040 is an apocalyptic number.

215255040 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 215255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

215255040 is an abundant number, since it is smaller than the sum of its proper divisors (725874240).

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

215255040 is a wasteful number, since it uses less digits than its factorization.

215255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 215255040 is about 14671.5725128563. The cubic root of 215255040 is about 599.3094277103.

It can be divided in two parts, 21525 and 5040, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 215255040 in words is "two hundred fifteen million, two hundred fifty-five thousand, forty".