542297233920 has 640 divisors, whose sum is σ = 1981633167360. Its totient is φ = 125411328000.

The previous prime is 542297233909. The next prime is 542297233921. The reversal of 542297233920 is 29332792245.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 542297233920.

It is not an unprimeable number, because it can be changed into a prime (542297233921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240912795 + ... + 240915045.

It is an arithmetic number, because the mean of its divisors is an integer number (3096301824).

Almost surely, 2^542297233920 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 542297233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990816583680).

542297233920 is an abundant number, since it is smaller than the sum of its proper divisors (1439335933440).

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

542297233920 is a wasteful number, since it uses less digits than its factorization.

542297233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 542297233920 in words is "five hundred forty-two billion, two hundred ninety-seven million, two hundred thirty-three thousand, nine hundred twenty".