2501131584 has 224 divisors, whose sum is σ = 7874666496. Its totient is φ = 685578240.

The previous prime is 2501131561. The next prime is 2501131597. The reversal of 2501131584 is 4851311052.

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

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, 7207699 + ... + 7208045.

Almost surely, 2^2501131584 is an apocalyptic number.

2501131584 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 2501131584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937333248).

2501131584 is an abundant number, since it is smaller than the sum of its proper divisors (5373534912).

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

2501131584 is a wasteful number, since it uses less digits than its factorization.

2501131584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 2501131584 is about 50011.3145598074. The cubic root of 2501131584 is about 1357.4135501792.

The spelling of 2501131584 in words is "two billion, five hundred one million, one hundred thirty-one thousand, five hundred eighty-four".