2263456543680 has 112 divisors (see below), whose sum is σ = 7984971726240. Its totient is φ = 603588409344.

The previous prime is 2263456543619. The next prime is 2263456543681. The reversal of 2263456543680 is 863456543622.

It is a happy number.

2263456543680 is a `hidden beast` number, since 2 + 2 + 6 + 34 + 5 + 6 + 543 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263456543681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130978429 + ... + 130995708.

Almost surely, 2^{2263456543680} is an apocalyptic number.

2263456543680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263456543680 is an abundant number, since it is smaller than the sum of its proper divisors (5721515182560).

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

2263456543680 is a wasteful number, since it uses less digits than its factorization.

2263456543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261974163 (or 261974147 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 2263456543680 in words is "two trillion, two hundred sixty-three billion, four hundred fifty-six million, five hundred forty-three thousand, six hundred eighty".