1542532320 has 288 divisors, whose sum is σ = 6065212608. Its totient is φ = 349691904.

The previous prime is 1542532273. The next prime is 1542532337. The reversal of 1542532320 is 232352451.

It is a happy number.

1542532320 is a `hidden beast` number, since 1 + 5 + 425 + 3 + 232 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380402 + ... + 1381518.

It is an arithmetic number, because the mean of its divisors is an integer number (21059766).

Almost surely, 2^1542532320 is an apocalyptic number.

1542532320 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 1542532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032606304).

1542532320 is an abundant number, since it is smaller than the sum of its proper divisors (4522680288).

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

1542532320 is a wasteful number, since it uses less digits than its factorization.

1542532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1542532320 is about 39275.0852322436. The cubic root of 1542532320 is about 1155.4329742313.

Adding to 1542532320 its reverse (232352451), we get a palindrome (1774884771).

The spelling of 1542532320 in words is "one billion, five hundred forty-two million, five hundred thirty-two thousand, three hundred twenty".