2766042144 has 36 divisors (see below), whose sum is σ = 7865933166. Its totient is φ = 922013952.

The previous prime is 2766042121. The next prime is 2766042151. The reversal of 2766042144 is 4412406672.

2766042144 is a `hidden beast` number, since 2 + 7 + 6 + 604 + 2 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2558336400 + 207705744 = 50580^2 + 14412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2766042144³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2766042099 and 2766042108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4801869 + ... + 4802444.

Almost surely, 2^2766042144 is an apocalyptic number.

2766042144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2766042144 is an abundant number, since it is smaller than the sum of its proper divisors (5099891022).

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

2766042144 is a wasteful number, since it uses less digits than its factorization.

2766042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9604329 (or 9604318 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2766042144 is about 52593.1758310905. The cubic root of 2766042144 is about 1403.7386710146.

The spelling of 2766042144 in words is "two billion, seven hundred sixty-six million, forty-two thousand, one hundred forty-four".