2257454522880 has 960 divisors, whose sum is σ = 8145303854688. Its totient is φ = 577555660800.

The previous prime is 2257454522867. The next prime is 2257454522951. The reversal of 2257454522880 is 882254547522.

2257454522880 is a `hidden beast` number, since 2 + 2 + 5 + 74 + 545 + 2 + 28 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 864185907456 + 1393268615424 = 929616^2 + 1180368^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2257454522880² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16477770172 + ... + 16477770308.

Almost surely, 2^{2257454522880} is an apocalyptic number.

2257454522880 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 2257454522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072651927344).

2257454522880 is an abundant number, since it is smaller than the sum of its proper divisors (5887849331808).

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

2257454522880 is a wasteful number, since it uses less digits than its factorization.

2257454522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 54.

The spelling of 2257454522880 in words is "two trillion, two hundred fifty-seven billion, four hundred fifty-four million, five hundred twenty-two thousand, eight hundred eighty".