2670742008 has 288 divisors, whose sum is σ = 8504449200. Its totient is φ = 756201600.

The previous prime is 2670741971. The next prime is 2670742057. The reversal of 2670742008 is 8002470762.

2670742008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86152953 + ... + 86152983.

Almost surely, 2^2670742008 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 2670742008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252224600).

2670742008 is an abundant number, since it is smaller than the sum of its proper divisors (5833707192).

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

2670742008 is a wasteful number, since it uses less digits than its factorization.

2670742008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2670742008 is about 51679.2222077693. Note that the first 4 decimals coincide. The cubic root of 2670742008 is about 1387.4286101082.

The spelling of 2670742008 in words is "two billion, six hundred seventy million, seven hundred forty-two thousand, eight".