24242406240 has 96 divisors (see below), whose sum is σ = 82237722336. Its totient is φ = 5967360000.

The previous prime is 24242406239. The next prime is 24242406259. The reversal of 24242406240 is 4260424242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24242406198 and 24242406207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1936261 + ... + 1948740.

It is an arithmetic number, because the mean of its divisors is an integer number (856642941).

Almost surely, 2^24242406240 is an apocalyptic number.

24242406240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24242406240 is an abundant number, since it is smaller than the sum of its proper divisors (57995316096).

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

24242406240 is a wasteful number, since it uses less digits than its factorization.

24242406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885032 (or 3885024 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The spelling of 24242406240 in words is "twenty-four billion, two hundred forty-two million, four hundred six thousand, two hundred forty".