270248509440 has 1632 divisors, whose sum is σ = 1236639156480. Its totient is φ = 52999225344.

The previous prime is 270248509367. The next prime is 270248509441. The reversal of 270248509440 is 44905842072.

270248509440 is a `hidden beast` number, since 270 + 248 + 50 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×270248509440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (270248509441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5099028454 + ... + 5099028506.

Almost surely, 2^270248509440 is an apocalyptic number.

270248509440 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 270248509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618319578240).

270248509440 is an abundant number, since it is smaller than the sum of its proper divisors (966390647040).

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

270248509440 is a wasteful number, since it uses less digits than its factorization.

270248509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 270248509440 in words is "two hundred seventy billion, two hundred forty-eight million, five hundred nine thousand, four hundred forty".