2003145540 has 96 divisors (see below), whose sum is σ = 6261083136. Its totient is φ = 474311040.

The previous prime is 2003145533. The next prime is 2003145611. The reversal of 2003145540 is 455413002.

It is a self number, because there is not a number n which added to its sum of digits gives 2003145540.

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, 6912 + ... + 63671.

It is an arithmetic number, because the mean of its divisors is an integer number (65219616).

Almost surely, 2^2003145540 is an apocalyptic number.

2003145540 is a gapful number since it is divisible by the number (20) 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 2003145540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130541568).

2003145540 is an abundant number, since it is smaller than the sum of its proper divisors (4257937596).

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

2003145540 is a wasteful number, since it uses less digits than its factorization.

2003145540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70649 (or 70647 counting only the distinct ones).

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

The square root of 2003145540 is about 44756.5139393139. The cubic root of 2003145540 is about 1260.5812259239.

Adding to 2003145540 its reverse (455413002), we get a palindrome (2458558542).

The spelling of 2003145540 in words is "two billion, three million, one hundred forty-five thousand, five hundred forty".