242071700640 has 384 divisors, whose sum is σ = 957640900608. Its totient is φ = 49932410880.

The previous prime is 242071700573. The next prime is 242071700657. The reversal of 242071700640 is 46007170242.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 5039617 + ... + 5087423.

It is an arithmetic number, because the mean of its divisors is an integer number (2493856512).

Almost surely, 2^242071700640 is an apocalyptic number.

242071700640 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 242071700640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478820450304).

242071700640 is an abundant number, since it is smaller than the sum of its proper divisors (715569199968).

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

242071700640 is a wasteful number, since it uses less digits than its factorization.

242071700640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47980 (or 47972 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

Adding to 242071700640 its reverse (46007170242), we get a palindrome (288078870882).

The spelling of 242071700640 in words is "two hundred forty-two billion, seventy-one million, seven hundred thousand, six hundred forty".