2248432905760 has 24 divisors (see below), whose sum is σ = 5311922740236. Its totient is φ = 899373162240.

The previous prime is 2248432905731. The next prime is 2248432905767. The reversal of 2248432905760 is 675092348422.

It can be written as a sum of positive squares in 2 ways, for example, as 2173253846416 + 75179059344 = 1474196^2 + 274188^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2248432905698 and 2248432905707.

It is not an unprimeable number, because it can be changed into a prime (2248432905767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7026352671 + ... + 7026352990.

Almost surely, 2^{2248432905760} is an apocalyptic number.

2248432905760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248432905760 is an abundant number, since it is smaller than the sum of its proper divisors (3063489834476).

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

2248432905760 is a wasteful number, since it uses less digits than its factorization.

2248432905760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14052705676 (or 14052705668 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 2248432905760 in words is "two trillion, two hundred forty-eight billion, four hundred thirty-two million, nine hundred five thousand, seven hundred sixty".