2545458048 has 288 divisors, whose sum is σ = 8712827760. Its totient is φ = 725594112.

The previous prime is 2545458023. The next prime is 2545458049. The reversal of 2545458048 is 8408545452.

2545458048 is a `hidden beast` number, since 25 + 4 + 5 + 4 + 580 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 2545457994 and 2545458012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545458049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5878440 + ... + 5878872.

Almost surely, 2^2545458048 is an apocalyptic number.

2545458048 is a gapful number since it is divisible by the number (28) 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 2545458048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356413880).

2545458048 is an abundant number, since it is smaller than the sum of its proper divisors (6167369712).

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

2545458048 is an frugal number, since it uses more digits than its factorization.

2545458048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The square root of 2545458048 is about 50452.5326222579. The cubic root of 2545458048 is about 1365.3855884473.

The spelling of 2545458048 in words is "two billion, five hundred forty-five million, four hundred fifty-eight thousand, forty-eight".