2545601760 has 576 divisors, whose sum is σ = 10451488320. Its totient is φ = 557383680.

The previous prime is 2545601717. The next prime is 2545601767. The reversal of 2545601760 is 671065452.

It is a happy number.

2545601760 is a `hidden beast` number, since 2 + 5 + 45 + 601 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545601767) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6046350 + ... + 6046770.

It is an arithmetic number, because the mean of its divisors is an integer number (18144945).

Almost surely, 2^2545601760 is an apocalyptic number.

2545601760 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 2545601760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225744160).

2545601760 is an abundant number, since it is smaller than the sum of its proper divisors (7905886560).

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

2545601760 is a wasteful number, since it uses less digits than its factorization.

2545601760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2545601760 is about 50453.9568319473. The cubic root of 2545601760 is about 1365.4112837050.

The spelling of 2545601760 in words is "two billion, five hundred forty-five million, six hundred one thousand, seven hundred sixty".