2670814944 has 288 divisors, whose sum is σ = 9092079360. Its totient is φ = 755453952.

The previous prime is 2670814921. The next prime is 2670814963. The reversal of 2670814944 is 4494180762.

2670814944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2670814944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7565872 + ... + 7566224.

It is an arithmetic number, because the mean of its divisors is an integer number (31569720).

Almost surely, 2^2670814944 is an apocalyptic number.

2670814944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2670814944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546039680).

2670814944 is an abundant number, since it is smaller than the sum of its proper divisors (6421264416).

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

2670814944 is a wasteful number, since it uses less digits than its factorization.

2670814944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2670814944 is about 51679.9278637267. The cubic root of 2670814944 is about 1387.4412398783.

The spelling of 2670814944 in words is "two billion, six hundred seventy million, eight hundred fourteen thousand, nine hundred forty-four".