1542282240 has 352 divisors, whose sum is σ = 5282242560. Its totient is φ = 383385600.

The previous prime is 1542282239. The next prime is 1542282289. The reversal of 1542282240 is 422822451.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1542282198 and 1542282207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19522521 + ... + 19522599.

Almost surely, 2^1542282240 is an apocalyptic number.

1542282240 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 1542282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641121280).

1542282240 is an abundant number, since it is smaller than the sum of its proper divisors (3739960320).

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

1542282240 is a wasteful number, since it uses less digits than its factorization.

1542282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 1542282240 is about 39271.9014054578. The cubic root of 1542282240 is about 1155.3705300951.

The spelling of 1542282240 in words is "one billion, five hundred forty-two million, two hundred eighty-two thousand, two hundred forty".