2667950505 has 48 divisors (see below), whose sum is σ = 5341624704. Its totient is φ = 1217456640.

The previous prime is 2667950501. The next prime is 2667950507. The reversal of 2667950505 is 5050597662.

2667950505 is a `hidden beast` number, since 26 + 6 + 79 + 50 + 505 = 666.

2667950505 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 2667950505 - 2² = 2667950501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2667950501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150109 + ... + 166938.

It is an arithmetic number, because the mean of its divisors is an integer number (111283848).

Almost surely, 2^2667950505 is an apocalyptic number.

It is an amenable number.

2667950505 is an abundant number, since it is smaller than the sum of its proper divisors (2673674199).

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

2667950505 is a wasteful number, since it uses less digits than its factorization.

2667950505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317086 (or 317083 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 2667950505 is about 51652.2071648444. The cubic root of 2667950505 is about 1386.9450539432.

The spelling of 2667950505 in words is "two billion, six hundred sixty-seven million, nine hundred fifty thousand, five hundred five".