2563514720 has 96 divisors (see below), whose sum is σ = 6611909472. Its totient is φ = 933507072.

The previous prime is 2563514719. The next prime is 2563514731. The reversal of 2563514720 is 274153652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143399 + ... + 160281.

It is an arithmetic number, because the mean of its divisors is an integer number (68874057).

Almost surely, 2^2563514720 is an apocalyptic number.

2563514720 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 2563514720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305954736).

2563514720 is an abundant number, since it is smaller than the sum of its proper divisors (4048394752).

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

2563514720 is a wasteful number, since it uses less digits than its factorization.

2563514720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16984 (or 16976 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 2563514720 is about 50631.1635260340. The cubic root of 2563514720 is about 1368.6065217439.

The spelling of 2563514720 in words is "two billion, five hundred sixty-three million, five hundred fourteen thousand, seven hundred twenty".