2563074720 has 72 divisors (see below), whose sum is σ = 8746497396. Its totient is φ = 683486208.

The previous prime is 2563074719. The next prime is 2563074739. The reversal of 2563074720 is 274703652.

It is a happy number.

2563074720 is a `hidden beast` number, since 2 + 563 + 0 + 74 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2469294864 + 93779856 = 49692^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 888517 + ... + 891396.

Almost surely, 2^2563074720 is an apocalyptic number.

2563074720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2563074720 is an abundant number, since it is smaller than the sum of its proper divisors (6183422676).

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

2563074720 is a wasteful number, since it uses less digits than its factorization.

2563074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779934 (or 1779923 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2563074720 is about 50626.8181895722. The cubic root of 2563074720 is about 1368.5282150190.

The spelling of 2563074720 in words is "two billion, five hundred sixty-three million, seventy-four thousand, seven hundred twenty".