1542276960 has 288 divisors, whose sum is σ = 5899122432. Its totient is φ = 337075200.

The previous prime is 1542276943. The next prime is 1542276961. The reversal of 1542276960 is 696722451.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542276961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539535 + ... + 542385.

It is an arithmetic number, because the mean of its divisors is an integer number (20483064).

Almost surely, 2^1542276960 is an apocalyptic number.

1542276960 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 1542276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949561216).

1542276960 is an abundant number, since it is smaller than the sum of its proper divisors (4356845472).

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

1542276960 is a wasteful number, since it uses less digits than its factorization.

1542276960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1542276960 is about 39271.8341817644. The cubic root of 1542276960 is about 1155.3692116241.

The spelling of 1542276960 in words is "one billion, five hundred forty-two million, two hundred seventy-six thousand, nine hundred sixty".