2424706560 has 120 divisors (see below), whose sum is σ = 8397520560. Its totient is φ = 646582272.

The previous prime is 2424706553. The next prime is 2424706561. The reversal of 2424706560 is 656074242.

2424706560 is a `hidden beast` number, since 2 + 4 + 24 + 70 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424706561) 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, 29580 + ... + 75659.

It is an arithmetic number, because the mean of its divisors is an integer number (69979338).

Almost surely, 2^2424706560 is an apocalyptic number.

2424706560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424706560 is an abundant number, since it is smaller than the sum of its proper divisors (5972814000).

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

2424706560 is a wasteful number, since it uses less digits than its factorization.

2424706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105268 (or 105249 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2424706560 is about 49241.3094870557. The cubic root of 2424706560 is about 1343.4444983230. Note that the first 4 decimals are identical.

The spelling of 2424706560 in words is "two billion, four hundred twenty-four million, seven hundred six thousand, five hundred sixty".