1542240000 has 900 divisors, whose sum is σ = 6953761584. Its totient is φ = 331776000.

The previous prime is 1542239989. The next prime is 1542240067. The reversal of 1542240000 is 422451.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 90719992 + ... + 90720008.

Almost surely, 2^1542240000 is an apocalyptic number.

1542240000 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 1542240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476880792).

1542240000 is an abundant number, since it is smaller than the sum of its proper divisors (5411521584).

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

1542240000 is an frugal number, since it uses more digits than its factorization.

1542240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1542240000 is about 39271.3636126886. The cubic root of 1542240000 is about 1155.3599822426.

Adding to 1542240000 its reverse (422451), we get a palindrome (1542662451).

The spelling of 1542240000 in words is "one billion, five hundred forty-two million, two hundred forty thousand".