1542382560 has 240 divisors, whose sum is σ = 5535395712. Its totient is φ = 404352000.

The previous prime is 1542382537. The next prime is 1542382561. The reversal of 1542382560 is 652832451.

1542382560 is a `hidden beast` number, since 1 + 542 + 38 + 25 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1542382560² = 4757887922784307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542382561) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 789585 + ... + 791535.

Almost surely, 2^1542382560 is an apocalyptic number.

1542382560 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 1542382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767697856).

1542382560 is an abundant number, since it is smaller than the sum of its proper divisors (3993013152).

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

1542382560 is a wasteful number, since it uses less digits than its factorization.

1542382560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1542382560 is about 39273.1786337699. The cubic root of 1542382560 is about 1155.3955804730.

The spelling of 1542382560 in words is "one billion, five hundred forty-two million, three hundred eighty-two thousand, five hundred sixty".