1542490920 has 192 divisors, whose sum is σ = 5361707520. Its totient is φ = 383219712.

The previous prime is 1542490919. The next prime is 1542490973. The reversal of 1542490920 is 290942451.

1542490920 is a `hidden beast` number, since 1 + 542 + 4 + 90 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629137 + ... + 631583.

It is an arithmetic number, because the mean of its divisors is an integer number (27925560).

Almost surely, 2^1542490920 is an apocalyptic number.

1542490920 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 1542490920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680853760).

1542490920 is an abundant number, since it is smaller than the sum of its proper divisors (3819216600).

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

1542490920 is a wasteful number, since it uses less digits than its factorization.

1542490920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1542490920 is about 39274.5581770184. The cubic root of 1542490920 is about 1155.4226372565.

The spelling of 1542490920 in words is "one billion, five hundred forty-two million, four hundred ninety thousand, nine hundred twenty".