2054144256 has 144 divisors (see below), whose sum is σ = 5611515840. Its totient is φ = 666869760.

The previous prime is 2054144251. The next prime is 2054144263. The reversal of 2054144256 is 6524414502.

It is not an unprimeable number, because it can be changed into a prime (2054144251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7636090 + ... + 7636358.

It is an arithmetic number, because the mean of its divisors is an integer number (38968860).

Almost surely, 2^2054144256 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 2054144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805757920).

2054144256 is an abundant number, since it is smaller than the sum of its proper divisors (3557371584).

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

2054144256 is a wasteful number, since it uses less digits than its factorization.

2054144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 2054144256 is about 45322.6682356633. The cubic root of 2054144256 is about 1271.1895474154.

Adding to 2054144256 its reverse (6524414502), we get a palindrome (8578558758).

The spelling of 2054144256 in words is "two billion, fifty-four million, one hundred forty-four thousand, two hundred fifty-six".