24228771840 has 1152 divisors, whose sum is σ = 108180334080. Its totient is φ = 5064228864.

The previous prime is 24228771817. The next prime is 24228771857. The reversal of 24228771840 is 4817782242.

24228771840 is a `hidden beast` number, since 2 + 422 + 87 + 71 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 226437067 + ... + 226437173.

It is an arithmetic number, because the mean of its divisors is an integer number (93906540).

Almost surely, 2^24228771840 is an apocalyptic number.

24228771840 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 24228771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54090167040).

24228771840 is an abundant number, since it is smaller than the sum of its proper divisors (83951562240).

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

24228771840 is a wasteful number, since it uses less digits than its factorization.

24228771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 24228771840 in words is "twenty-four billion, two hundred twenty-eight million, seven hundred seventy-one thousand, eight hundred forty".