276030666240 has 640 divisors, whose sum is σ = 1053292584960. Its totient is φ = 60338995200.

The previous prime is 276030666203. The next prime is 276030666259. The reversal of 276030666240 is 42666030672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 276030666192 and 276030666201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148322910 + ... + 148324770.

It is an arithmetic number, because the mean of its divisors is an integer number (1645769664).

Almost surely, 2^276030666240 is an apocalyptic number.

276030666240 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 276030666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526646292480).

276030666240 is an abundant number, since it is smaller than the sum of its proper divisors (777261918720).

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

276030666240 is a wasteful number, since it uses less digits than its factorization.

276030666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 276030666240 in words is "two hundred seventy-six billion, thirty million, six hundred sixty-six thousand, two hundred forty".