2467428910560 has 72 divisors (see below), whose sum is σ = 8420101162200. Its totient is φ = 657981042432.

The previous prime is 2467428910483. The next prime is 2467428910567. The reversal of 2467428910560 is 650198247642.

2467428910560 is a `hidden beast` number, since 2 + 4 + 6 + 74 + 2 + 8 + 9 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2467428910497 and 2467428910506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467428910567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856744710 + ... + 856747589.

It is an arithmetic number, because the mean of its divisors is an integer number (116945849475).

Almost surely, 2^{2467428910560} is an apocalyptic number.

2467428910560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2467428910560 is an abundant number, since it is smaller than the sum of its proper divisors (5952672251640).

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

2467428910560 is a wasteful number, since it uses less digits than its factorization.

2467428910560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713492320 (or 1713492309 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2467428910560 in words is "two trillion, four hundred sixty-seven billion, four hundred twenty-eight million, nine hundred ten thousand, five hundred sixty".