1542839840 has 96 divisors (see below), whose sum is σ = 3749276160. Its totient is φ = 599603200.

The previous prime is 1542839833. The next prime is 1542839849. The reversal of 1542839840 is 489382451.

It is a happy number.

It is a Cunningham number, because it is equal to 39279²-1.

It is a junction number, because it is equal to n+sod(n) for n = 1542839791 and 1542839800.

It is not an unprimeable number, because it can be changed into a prime (1542839849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3141995 + ... + 3142485.

It is an arithmetic number, because the mean of its divisors is an integer number (39054960).

Almost surely, 2^1542839840 is an apocalyptic number.

1542839840 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 1542839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874638080).

1542839840 is an abundant number, since it is smaller than the sum of its proper divisors (2206436320).

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

1542839840 is a wasteful number, since it uses less digits than its factorization.

1542839840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 1542839840 is about 39278.9999872706. Note that the first 4 decimals coincide. The cubic root of 1542839840 is about 1155.5097516909.

The spelling of 1542839840 in words is "one billion, five hundred forty-two million, eight hundred thirty-nine thousand, eight hundred forty".