2534550144 has 128 divisors (see below), whose sum is σ = 8099289600. Its totient is φ = 686029824.

The previous prime is 2534550133. The next prime is 2534550181. The reversal of 2534550144 is 4410554352.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26259 + ... + 75885.

It is an arithmetic number, because the mean of its divisors is an integer number (63275700).

Almost surely, 2^2534550144 is an apocalyptic number.

2534550144 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 2534550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049644800).

2534550144 is an abundant number, since it is smaller than the sum of its proper divisors (5564739456).

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

2534550144 is a wasteful number, since it uses less digits than its factorization.

2534550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49670 (or 49658 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 2534550144 is about 50344.3159055717. The cubic root of 2534550144 is about 1363.4324599717.

The spelling of 2534550144 in words is "two billion, five hundred thirty-four million, five hundred fifty thousand, one hundred forty-four".