2002581504 has 576 divisors, whose sum is σ = 7727166720. Its totient is φ = 483655680.

The previous prime is 2002581467. The next prime is 2002581523. The reversal of 2002581504 is 4051852002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 24127447 + ... + 24127529.

It is an arithmetic number, because the mean of its divisors is an integer number (13415220).

Almost surely, 2^2002581504 is an apocalyptic number.

2002581504 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 2002581504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863583360).

2002581504 is an abundant number, since it is smaller than the sum of its proper divisors (5724585216).

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

2002581504 is a wasteful number, since it uses less digits than its factorization.

2002581504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2002581504 is about 44750.2123346918. The cubic root of 2002581504 is about 1260.4628987026.

The spelling of 2002581504 in words is "two billion, two million, five hundred eighty-one thousand, five hundred four".