1542080736 has 288 divisors, whose sum is σ = 5333852160. Its totient is φ = 412812288.

The previous prime is 1542080731. The next prime is 1542080741. The reversal of 1542080736 is 6370802451.

1542080736 is a `hidden beast` number, since 1 + 542 + 0 + 80 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (1542080731) and next prime (1542080741).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1542080736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542080731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4864450 + ... + 4864766.

It is an arithmetic number, because the mean of its divisors is an integer number (18520320).

Almost surely, 2^1542080736 is an apocalyptic number.

1542080736 is a gapful number since it is divisible by the number (16) 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 1542080736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666926080).

1542080736 is an abundant number, since it is smaller than the sum of its proper divisors (3791771424).

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

1542080736 is a wasteful number, since it uses less digits than its factorization.

1542080736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1542080736 is about 39269.3358232604. The cubic root of 1542080736 is about 1155.3202103121.

The spelling of 1542080736 in words is "one billion, five hundred forty-two million, eighty thousand, seven hundred thirty-six".