1542636480 has 448 divisors, whose sum is σ = 6267663360. Its totient is φ = 312115200.

The previous prime is 1542636451. The next prime is 1542636533. The reversal of 1542636480 is 846362451.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3030466 + ... + 3030974.

It is an arithmetic number, because the mean of its divisors is an integer number (13990320).

Almost surely, 2^1542636480 is an apocalyptic number.

1542636480 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 1542636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133831680).

1542636480 is an abundant number, since it is smaller than the sum of its proper divisors (4725026880).

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

1542636480 is a wasteful number, since it uses less digits than its factorization.

1542636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1542636480 is about 39276.4112413545. The cubic root of 1542636480 is about 1155.4589806426.

The spelling of 1542636480 in words is "one billion, five hundred forty-two million, six hundred thirty-six thousand, four hundred eighty".