1542410240 has 312 divisors, whose sum is σ = 4538141640. Its totient is φ = 500957184.

The previous prime is 1542410227. The next prime is 1542410249. The reversal of 1542410240 is 420142451.

It can be written as a sum of positive squares in 4 ways, for example, as 289816576 + 1252593664 = 17024^2 + 35392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542410249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29102054 + ... + 29102106.

Almost surely, 2^1542410240 is an apocalyptic number.

1542410240 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 1542410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269070820).

1542410240 is an abundant number, since it is smaller than the sum of its proper divisors (2995731400).

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

1542410240 is an equidigital number, since it uses as much as digits as its factorization.

1542410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 1542410240 is about 39273.5310355461. The cubic root of 1542410240 is about 1155.4024921085.

Adding to 1542410240 its reverse (420142451), we get a palindrome (1962552691).

The spelling of 1542410240 in words is "one billion, five hundred forty-two million, four hundred ten thousand, two hundred forty".