742241280 has 352 divisors, whose sum is σ = 2716581888. Its totient is φ = 171212800.

The previous prime is 742241243. The next prime is 742241281. The reversal of 742241280 is 82142247.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742241281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3885985 + ... + 3886175.

Almost surely, 2^742241280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358290944).

742241280 is an abundant number, since it is smaller than the sum of its proper divisors (1974340608).

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

742241280 is a wasteful number, since it uses less digits than its factorization.

742241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 742241280 is about 27244.1054175027. The cubic root of 742241280 is about 905.4164236433.

The spelling of 742241280 in words is "seven hundred forty-two million, two hundred forty-one thousand, two hundred eighty".