2005551504 has 120 divisors (see below), whose sum is σ = 6180756192. Its totient is φ = 602012160.

The previous prime is 2005551491. The next prime is 2005551529. The reversal of 2005551504 is 4051555002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163572 + ... + 175404.

Almost surely, 2^2005551504 is an apocalyptic number.

2005551504 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 2005551504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090378096).

2005551504 is an abundant number, since it is smaller than the sum of its proper divisors (4175204688).

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

2005551504 is a wasteful number, since it uses less digits than its factorization.

2005551504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 2005551504 is about 44783.3842401398. The cubic root of 2005551504 is about 1261.0857157422.

The spelling of 2005551504 in words is "two billion, five million, five hundred fifty-one thousand, five hundred four".