2538228160 has 112 divisors (see below), whose sum is σ = 6546994272. Its totient is φ = 931737600.

The previous prime is 2538228149. The next prime is 2538228169. The reversal of 2538228160 is 618228352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538228169) 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 15 ways as a sum of consecutive naturals, for example, 751275 + ... + 754645.

It is an arithmetic number, because the mean of its divisors is an integer number (58455306).

Almost surely, 2^2538228160 is an apocalyptic number.

2538228160 is a gapful number since it is divisible by the number (20) 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 2538228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273497136).

2538228160 is an abundant number, since it is smaller than the sum of its proper divisors (4008766112).

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

2538228160 is a wasteful number, since it uses less digits than its factorization.

2538228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 2538228160 is about 50380.8312753968. The cubic root of 2538228160 is about 1364.0916568525.

The spelling of 2538228160 in words is "two billion, five hundred thirty-eight million, two hundred twenty-eight thousand, one hundred sixty".