2541757680 has 720 divisors, whose sum is σ = 11320418304. Its totient is φ = 496419840.

The previous prime is 2541757679. The next prime is 2541757711. The reversal of 2541757680 is 867571452.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20013777 + ... + 20013903.

Almost surely, 2^2541757680 is an apocalyptic number.

2541757680 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 2541757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660209152).

2541757680 is an abundant number, since it is smaller than the sum of its proper divisors (8778660624).

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

2541757680 is a wasteful number, since it uses less digits than its factorization.

2541757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 2541757680 is about 50415.8475084968. The cubic root of 2541757680 is about 1364.7236408679.

The spelling of 2541757680 in words is "two billion, five hundred forty-one million, seven hundred fifty-seven thousand, six hundred eighty".