2003042514564 has 144 divisors (see below), whose sum is σ = 6233069012352. Its totient is φ = 528157863936.

The previous prime is 2003042514443. The next prime is 2003042514587. The reversal of 2003042514564 is 4654152403002.

2003042514564 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 0 + 42 + 51 + 4 + 564 = 666.

It is a super-2 number, since 2×2003042514564² (a number of 25 digits) contains 22 as substring.

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, 15243327 + ... + 15374169.

Almost surely, 2^{2003042514564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003042514564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116534506176).

2003042514564 is an abundant number, since it is smaller than the sum of its proper divisors (4230026497788).

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

2003042514564 is a wasteful number, since it uses less digits than its factorization.

2003042514564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135546 (or 135541 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2003042514564 its reverse (4654152403002), we get a palindrome (6657194917566).

The spelling of 2003042514564 in words is "two trillion, three billion, forty-two million, five hundred fourteen thousand, five hundred sixty-four".