24406272240 has 160 divisors (see below), whose sum is σ = 87758906880. Its totient is φ = 5495288832.

The previous prime is 24406272227. The next prime is 24406272251. The reversal of 24406272240 is 4227260442.

It is a super-2 number, since 2×24406272240² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4146 + ... + 220974.

It is an arithmetic number, because the mean of its divisors is an integer number (548493168).

Almost surely, 2^24406272240 is an apocalyptic number.

24406272240 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 24406272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43879453440).

24406272240 is an abundant number, since it is smaller than the sum of its proper divisors (63352634640).

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

24406272240 is a wasteful number, since it uses less digits than its factorization.

24406272240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216919 (or 216913 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The spelling of 24406272240 in words is "twenty-four billion, four hundred six million, two hundred seventy-two thousand, two hundred forty".