2667763404 has 96 divisors (see below), whose sum is σ = 7159111680. Its totient is φ = 858211200.

The previous prime is 2667763393. The next prime is 2667763481. The reversal of 2667763404 is 4043677662.

2667763404 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 7 + 634 + 0 + 4 = 666.

2667763404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2667763404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549264 + ... + 1550984.

It is an arithmetic number, because the mean of its divisors is an integer number (74574080).

Almost surely, 2^2667763404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667763404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579555840).

2667763404 is an abundant number, since it is smaller than the sum of its proper divisors (4491348276).

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

2667763404 is a wasteful number, since it uses less digits than its factorization.

2667763404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 2667763404 is about 51650.3959713766. The cubic root of 2667763404 is about 1386.9126314436.

The spelling of 2667763404 in words is "two billion, six hundred sixty-seven million, seven hundred sixty-three thousand, four hundred four".