2039541504 has 432 divisors, whose sum is σ = 7437870720. Its totient is φ = 487710720.

The previous prime is 2039541481. The next prime is 2039541509. The reversal of 2039541504 is 4051459302.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039541509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5381187 + ... + 5381565.

Almost surely, 2^2039541504 is an apocalyptic number.

2039541504 is a gapful number since it is divisible by the number (24) 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 2039541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718935360).

2039541504 is an abundant number, since it is smaller than the sum of its proper divisors (5398329216).

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

2039541504 is a wasteful number, since it uses less digits than its factorization.

2039541504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2039541504 is about 45161.2832412898. The cubic root of 2039541504 is about 1268.1701185176.

The spelling of 2039541504 in words is "two billion, thirty-nine million, five hundred forty-one thousand, five hundred four".