215381770240 has 544 divisors, whose sum is σ = 659540883456. Its totient is φ = 65682800640.

The previous prime is 215381770223. The next prime is 215381770259. The reversal of 215381770240 is 42077183512.

It is a super-2 number, since 2×215381770240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 215381770193 and 215381770202.

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, 924385164 + ... + 924385396.

Almost surely, 2^215381770240 is an apocalyptic number.

215381770240 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 215381770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329770441728).

215381770240 is an abundant number, since it is smaller than the sum of its proper divisors (444159113216).

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

215381770240 is an equidigital number, since it uses as much as digits as its factorization.

215381770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 215381770240 in words is "two hundred fifteen billion, three hundred eighty-one million, seven hundred seventy thousand, two hundred forty".