1542241200 has 120 divisors (see below), whose sum is σ = 4964541376. Its totient is φ = 409248000.

The previous prime is 1542241187. The next prime is 1542241219. The reversal of 1542241200 is 21422451.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250155 + ... + 256245.

Almost surely, 2^1542241200 is an apocalyptic number.

1542241200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482270688).

1542241200 is an abundant number, since it is smaller than the sum of its proper divisors (3422300176).

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

1542241200 is a wasteful number, since it uses less digits than its factorization.

1542241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1542241200 is about 39271.3788909939. The cubic root of 1542241200 is about 1155.3602819002.

Adding to 1542241200 its reverse (21422451), we get a palindrome (1563663651).

The spelling of 1542241200 in words is "one billion, five hundred forty-two million, two hundred forty-one thousand, two hundred".