2545772768 has 96 divisors (see below), whose sum is σ = 6294516480. Its totient is φ = 984591360.

The previous prime is 2545772759. The next prime is 2545772777. The reversal of 2545772768 is 8672775452.

It is an interprime number because it is at equal distance from previous prime (2545772759) and next prime (2545772777).

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 15 ways as a sum of consecutive naturals, for example, 338780 + ... + 346212.

It is an arithmetic number, because the mean of its divisors is an integer number (65567880).

Almost surely, 2^2545772768 is an apocalyptic number.

2545772768 is a gapful number since it is divisible by the number (28) 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 2545772768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147258240).

2545772768 is an abundant number, since it is smaller than the sum of its proper divisors (3748743712).

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

2545772768 is a wasteful number, since it uses less digits than its factorization.

2545772768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7592 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 53.

The square root of 2545772768 is about 50455.6514971316. The cubic root of 2545772768 is about 1365.4418581423.

The spelling of 2545772768 in words is "two billion, five hundred forty-five million, seven hundred seventy-two thousand, seven hundred sixty-eight".