2454266880 has 528 divisors, whose sum is σ = 9737071344. Its totient is φ = 566231040.

The previous prime is 2454266849. The next prime is 2454266887. The reversal of 2454266880 is 886624542.

2454266880 is a `hidden beast` number, since 24 + 542 + 6 + 6 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 451584 + 2453815296 = 672^2 + 49536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2454266887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10183560 + ... + 10183800.

It is an arithmetic number, because the mean of its divisors is an integer number (18441423).

Almost surely, 2^2454266880 is an apocalyptic number.

2454266880 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 2454266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868535672).

2454266880 is an abundant number, since it is smaller than the sum of its proper divisors (7282804464).

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

2454266880 is a wasteful number, since it uses less digits than its factorization.

2454266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2454266880 is about 49540.5579298417. The cubic root of 2454266880 is about 1348.8819055052.

The spelling of 2454266880 in words is "two billion, four hundred fifty-four million, two hundred sixty-six thousand, eight hundred eighty".