20031642240 has 512 divisors, whose sum is σ = 70326144000. Its totient is φ = 4832133120.

The previous prime is 20031642233. The next prime is 20031642251. The reversal of 20031642240 is 4224613002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20031642240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88245007 + ... + 88245233.

It is an arithmetic number, because the mean of its divisors is an integer number (137355750).

Almost surely, 2^20031642240 is an apocalyptic number.

20031642240 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 20031642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35163072000).

20031642240 is an abundant number, since it is smaller than the sum of its proper divisors (50294501760).

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

20031642240 is a wasteful number, since it uses less digits than its factorization.

20031642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 200316 and 42240, that added together give a triangular number (242556 = T₆₉₆).

The spelling of 20031642240 in words is "twenty billion, thirty-one million, six hundred forty-two thousand, two hundred forty".