2555467761 has 96 divisors (see below), whose sum is σ = 4569338880. Its totient is φ = 1233792000.

The previous prime is 2555467753. The next prime is 2555467763. The reversal of 2555467761 is 1677645552.

2555467761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2555467761 - 2³ = 2555467753 is a prime.

It is a super-3 number, since 3×2555467761³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2555467761.

It is not an unprimeable number, because it can be changed into a prime (2555467763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6742470 + ... + 6742848.

It is an arithmetic number, because the mean of its divisors is an integer number (47597280).

Almost surely, 2^2555467761 is an apocalyptic number.

2555467761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2555467761 is a deficient number, since it is larger than the sum of its proper divisors (2013871119).

2555467761 is a wasteful number, since it uses less digits than its factorization.

2555467761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 518 counting only the distinct ones).

The product of its digits is 1764000, while the sum is 48.

The square root of 2555467761 is about 50551.6346026516. The cubic root of 2555467761 is about 1367.1729867436.

The spelling of 2555467761 in words is "two billion, five hundred fifty-five million, four hundred sixty-seven thousand, seven hundred sixty-one".