23450730240 has 1152 divisors, whose sum is σ = 99320739840. Its totient is φ = 4586471424.

The previous prime is 23450730211. The next prime is 23450730283. The reversal of 23450730240 is 4203705432.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 = 23450730198 and 23450730207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 321242844 + ... + 321242916.

It is an arithmetic number, because the mean of its divisors is an integer number (86215920).

Almost surely, 2^23450730240 is an apocalyptic number.

23450730240 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 23450730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49660369920).

23450730240 is an abundant number, since it is smaller than the sum of its proper divisors (75870009600).

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

23450730240 is a wasteful number, since it uses less digits than its factorization.

23450730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The spelling of 23450730240 in words is "twenty-three billion, four hundred fifty million, seven hundred thirty thousand, two hundred forty".