742101984 has 216 divisors, whose sum is σ = 2326091040. Its totient is φ = 224280576.

The previous prime is 742101979. The next prime is 742101989. The reversal of 742101984 is 489101247.

742101984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (742101979) and next prime (742101989).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742101989) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3844992 + ... + 3845184.

It is an arithmetic number, because the mean of its divisors is an integer number (10768940).

Almost surely, 2^742101984 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 742101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163045520).

742101984 is an abundant number, since it is smaller than the sum of its proper divisors (1583989056).

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

742101984 is a wasteful number, since it uses less digits than its factorization.

742101984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 742101984 is about 27241.5488546448. The cubic root of 742101984 is about 905.3597804375.

The spelling of 742101984 in words is "seven hundred forty-two million, one hundred one thousand, nine hundred eighty-four".