2500589952 has 288 divisors, whose sum is σ = 8646580800. Its totient is φ = 690923520.

The previous prime is 2500589951. The next prime is 2500589957. The reversal of 2500589952 is 2599850052.

2500589952 is a `hidden beast` number, since 2 + 500 + 5 + 8 + 99 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2500589898 and 2500589907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500589951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1749174 + ... + 1750602.

It is an arithmetic number, because the mean of its divisors is an integer number (30022850).

Almost surely, 2^2500589952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500589952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323290400).

2500589952 is an abundant number, since it is smaller than the sum of its proper divisors (6145990848).

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

2500589952 is a wasteful number, since it uses less digits than its factorization.

2500589952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 2500589952 is about 50005.8991719977. The cubic root of 2500589952 is about 1357.3155583077.

The spelling of 2500589952 in words is "two billion, five hundred million, five hundred eighty-nine thousand, nine hundred fifty-two".