20241345240 has 384 divisors, whose sum is σ = 71705088000. Its totient is φ = 4935250944.

The previous prime is 20241345211. The next prime is 20241345269. The reversal of 20241345240 is 4254314202.

20241345240 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 134 + 524 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20241345211) and next prime (20241345269).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25396522 + ... + 25397318.

It is an arithmetic number, because the mean of its divisors is an integer number (186732000).

Almost surely, 2^20241345240 is an apocalyptic number.

20241345240 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 20241345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544000).

20241345240 is an abundant number, since it is smaller than the sum of its proper divisors (51463742760).

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

20241345240 is a wasteful number, since it uses less digits than its factorization.

20241345240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20241345240 its reverse (4254314202), we get a palindrome (24495659442).

The spelling of 20241345240 in words is "twenty billion, two hundred forty-one million, three hundred forty-five thousand, two hundred forty".