742049024 has 36 divisors (see below), whose sum is σ = 1490370336. Its totient is φ = 368727552.

The previous prime is 742049017. The next prime is 742049029. The reversal of 742049024 is 420940247.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742049029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32837 + ... + 50619.

It is an arithmetic number, because the mean of its divisors is an integer number (41399176).

Almost surely, 2^742049024 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 742049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745185168).

742049024 is an abundant number, since it is smaller than the sum of its proper divisors (748321312).

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

742049024 is a wasteful number, since it uses less digits than its factorization.

742049024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17962 (or 17948 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 742049024 is about 27240.5767927186. The cubic root of 742049024 is about 905.3382429689.

The spelling of 742049024 in words is "seven hundred forty-two million, forty-nine thousand, twenty-four".