741993120 has 288 divisors, whose sum is σ = 2790365760. Its totient is φ = 178053120.

The previous prime is 741993107. The next prime is 741993121. The reversal of 741993120 is 21399147.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (741993121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2201592 + ... + 2201928.

It is an arithmetic number, because the mean of its divisors is an integer number (9688770).

Almost surely, 2^741993120 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 741993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395182880).

741993120 is an abundant number, since it is smaller than the sum of its proper divisors (2048372640).

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

741993120 is a wasteful number, since it uses less digits than its factorization.

741993120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 741993120 is about 27239.5506570868. The cubic root of 741993120 is about 905.3155071394.

The spelling of 741993120 in words is "seven hundred forty-one million, nine hundred ninety-three thousand, one hundred twenty".