1003542540 has 576 divisors, whose sum is σ = 4004044800. Its totient is φ = 186278400.

The previous prime is 1003542523. The next prime is 1003542541. The reversal of 1003542540 is 452453001.

It is a self number, because there is not a number n which added to its sum of digits gives 1003542540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003542541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32372325 + ... + 32372355.

Almost surely, 2^1003542540 is an apocalyptic number.

1003542540 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 1003542540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002022400).

1003542540 is an abundant number, since it is smaller than the sum of its proper divisors (3000502260).

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

1003542540 is a wasteful number, since it uses less digits than its factorization.

1003542540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1003542540 is about 31678.7395582589. The cubic root of 1003542540 is about 1001.1794550056.

Adding to 1003542540 its reverse (452453001), we get a palindrome (1455995541).

The spelling of 1003542540 in words is "one billion, three million, five hundred forty-two thousand, five hundred forty".