2588701248 has 224 divisors, whose sum is σ = 9209836800. Its totient is φ = 696066048.

The previous prime is 2588701223. The next prime is 2588701249. The reversal of 2588701248 is 8421078852.

It is a happy number.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2588701249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199338 + ... + 211926.

Almost surely, 2^2588701248 is an apocalyptic number.

2588701248 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 2588701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604918400).

2588701248 is an abundant number, since it is smaller than the sum of its proper divisors (6621135552).

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

2588701248 is a wasteful number, since it uses less digits than its factorization.

2588701248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12634 (or 12618 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 2588701248 is about 50879.2811269971. The cubic root of 2588701248 is about 1373.0741078158.

The spelling of 2588701248 in words is "two billion, five hundred eighty-eight million, seven hundred one thousand, two hundred forty-eight".