2467906560 has 396 divisors, whose sum is σ = 9956452428. Its totient is φ = 563576832.

The previous prime is 2467906513. The next prime is 2467906663. The reversal of 2467906560 is 656097642.

2467906560 is a `hidden beast` number, since 24 + 67 + 9 + 0 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1849688064 + 618218496 = 43008^2 + 24864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2257374 + ... + 2258466.

Almost surely, 2^2467906560 is an apocalyptic number.

2467906560 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 2467906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978226214).

2467906560 is an abundant number, since it is smaller than the sum of its proper divisors (7488545868).

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

2467906560 is a wasteful number, since it uses less digits than its factorization.

2467906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2467906560 is about 49678.0289464065. The cubic root of 2467906560 is about 1351.3761111992.

The spelling of 2467906560 in words is "two billion, four hundred sixty-seven million, nine hundred six thousand, five hundred sixty".