2545259760 has 280 divisors, whose sum is σ = 9343576080. Its totient is φ = 642733056.

The previous prime is 2545259729. The next prime is 2545259777. The reversal of 2545259760 is 679525452.

2545259760 is a `hidden beast` number, since 2 + 5 + 4 + 52 + 597 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1106932 + ... + 1109228.

Almost surely, 2^2545259760 is an apocalyptic number.

2545259760 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 2545259760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671788040).

2545259760 is an abundant number, since it is smaller than the sum of its proper divisors (6798316320).

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

2545259760 is a wasteful number, since it uses less digits than its factorization.

2545259760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 2545259760 is about 50450.5674893752. The cubic root of 2545259760 is about 1365.3501335832.

The spelling of 2545259760 in words is "two billion, five hundred forty-five million, two hundred fifty-nine thousand, seven hundred sixty".