2539201168 has 90 divisors (see below), whose sum is σ = 5837994834. Its totient is φ = 1066770432.

The previous prime is 2539201163. The next prime is 2539201193. The reversal of 2539201168 is 8611029352.

It can be written as a sum of positive squares in 3 ways, for example, as 1246654864 + 1292546304 = 35308^2 + 35952^2 .

It is not an unprimeable number, because it can be changed into a prime (2539201163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2201680 + ... + 2202832.

Almost surely, 2^2539201168 is an apocalyptic number.

2539201168 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 2539201168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918997417).

2539201168 is an abundant number, since it is smaller than the sum of its proper divisors (3298793666).

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

2539201168 is a wasteful number, since it uses less digits than its factorization.

2539201168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 2539201168 is about 50390.4868799657. The cubic root of 2539201168 is about 1364.2659388645.

The spelling of 2539201168 in words is "two billion, five hundred thirty-nine million, two hundred one thousand, one hundred sixty-eight".