2541787680 has 96 divisors (see below), whose sum is σ = 8041348224. Its totient is φ = 674871296.

The previous prime is 2541787669. The next prime is 2541787697. The reversal of 2541787680 is 867871452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2541787680² = 12921369220399564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 100477 + ... + 123203.

It is an arithmetic number, because the mean of its divisors is an integer number (83764044).

Almost surely, 2^2541787680 is an apocalyptic number.

2541787680 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 2541787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020674112).

2541787680 is an abundant number, since it is smaller than the sum of its proper divisors (5499560544).

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

2541787680 is a wasteful number, since it uses less digits than its factorization.

2541787680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22978 (or 22970 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 2541787680 is about 50416.1450331141. The cubic root of 2541787680 is about 1364.7290100590.

The spelling of 2541787680 in words is "two billion, five hundred forty-one million, seven hundred eighty-seven thousand, six hundred eighty".