2454788160 has 448 divisors, whose sum is σ = 9866741760. Its totient is φ = 568719360.

The previous prime is 2454788159. The next prime is 2454788249. The reversal of 2454788160 is 618874542.

2454788160 is a `hidden beast` number, since 2 + 45 + 478 + 81 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2185359 + ... + 2186481.

Almost surely, 2^2454788160 is an apocalyptic number.

2454788160 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 2454788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933370880).

2454788160 is an abundant number, since it is smaller than the sum of its proper divisors (7411953600).

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

2454788160 is a wasteful number, since it uses less digits than its factorization.

2454788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2454788160 is about 49545.8187943241. The cubic root of 2454788160 is about 1348.9773984322.

The spelling of 2454788160 in words is "two billion, four hundred fifty-four million, seven hundred eighty-eight thousand, one hundred sixty".