2504020288 has 224 divisors, whose sum is σ = 6582509568. Its totient is φ = 916531200.

The previous prime is 2504020237. The next prime is 2504020307. The reversal of 2504020288 is 8820204052.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 5652195 + ... + 5652637.

Almost surely, 2^2504020288 is an apocalyptic number.

2504020288 is a gapful number since it is divisible by the number (28) 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 2504020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291254784).

2504020288 is an abundant number, since it is smaller than the sum of its proper divisors (4078489280).

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

2504020288 is a wasteful number, since it uses less digits than its factorization.

2504020288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 2504020288 is about 50040.1867302671. The cubic root of 2504020288 is about 1357.9359347070.

The spelling of 2504020288 in words is "two billion, five hundred four million, twenty thousand, two hundred eighty-eight".