2455584768 has 480 divisors, whose sum is σ = 9101361920. Its totient is φ = 637009920.

The previous prime is 2455584763. The next prime is 2455584799. The reversal of 2455584768 is 8674855542.

2455584768 is a `hidden beast` number, since 2 + 4 + 55 + 584 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×2455584768² = 12059793105667227648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455584763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40255458 + ... + 40255518.

Almost surely, 2^2455584768 is an apocalyptic number.

2455584768 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 2455584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550680960).

2455584768 is an abundant number, since it is smaller than the sum of its proper divisors (6645777152).

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

2455584768 is an equidigital number, since it uses as much as digits as its factorization.

2455584768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The square root of 2455584768 is about 49553.8572464344. The cubic root of 2455584768 is about 1349.1233023958.

The spelling of 2455584768 in words is "two billion, four hundred fifty-five million, five hundred eighty-four thousand, seven hundred sixty-eight".