2455090560 has 320 divisors, whose sum is σ = 9444592080. Its totient is φ = 604164096.

The previous prime is 2455090511. The next prime is 2455090577. The reversal of 2455090560 is 650905542.

2455090560 is a `hidden beast` number, since 2 + 4 + 5 + 5 + 0 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2455090560² = 12054939315602227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 672099 + ... + 675741.

Almost surely, 2^2455090560 is an apocalyptic number.

2455090560 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 2455090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722296040).

2455090560 is an abundant number, since it is smaller than the sum of its proper divisors (6989501520).

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

2455090560 is a wasteful number, since it uses less digits than its factorization.

2455090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2455090560 is about 49548.8704210298. The cubic root of 2455090560 is about 1349.0327886857.

The spelling of 2455090560 in words is "two billion, four hundred fifty-five million, ninety thousand, five hundred sixty".