2257551744 has 128 divisors (see below), whose sum is σ = 7038816000. Its totient is φ = 627554304.

The previous prime is 2257551733. The next prime is 2257551757. The reversal of 2257551744 is 4471557522.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2257551696 and 2257551705.

It is a congruent number.

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, 88107 + ... + 110805.

It is an arithmetic number, because the mean of its divisors is an integer number (54990750).

Almost surely, 2^2257551744 is an apocalyptic number.

2257551744 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 2257551744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519408000).

2257551744 is an abundant number, since it is smaller than the sum of its proper divisors (4781264256).

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

2257551744 is a wasteful number, since it uses less digits than its factorization.

2257551744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22760 (or 22748 counting only the distinct ones).

The product of its digits is 392000, while the sum is 42.

The square root of 2257551744 is about 47513.7005925659. The cubic root of 2257551744 is about 1311.8350724668.

The spelling of 2257551744 in words is "two billion, two hundred fifty-seven million, five hundred fifty-one thousand, seven hundred forty-four".