2815482896640 has 288 divisors, whose sum is σ = 9993381229440. Its totient is φ = 750620565504.

The previous prime is 2815482896623. The next prime is 2815482896641. The reversal of 2815482896640 is 466982845182.

2815482896640 is a `hidden beast` number, since 2 + 8 + 1 + 5 + 482 + 8 + 96 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2815482896641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226811074 + ... + 226823486.

It is an arithmetic number, because the mean of its divisors is an integer number (34699240380).

Almost surely, 2^{2815482896640} is an apocalyptic number.

2815482896640 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 2815482896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996690614720).

2815482896640 is an abundant number, since it is smaller than the sum of its proper divisors (7177898332800).

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

2815482896640 is a wasteful number, since it uses less digits than its factorization.

2815482896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19006 (or 18986 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 2815482896640 in words is "two trillion, eight hundred fifteen billion, four hundred eighty-two million, eight hundred ninety-six thousand, six hundred forty".