2673072064 has 56 divisors (see below), whose sum is σ = 5750507168. Its totient is φ = 1225497600.

The previous prime is 2673072047. The next prime is 2673072079. The reversal of 2673072064 is 4602703762.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114994 + ... + 136270.

It is an arithmetic number, because the mean of its divisors is an integer number (102687628).

Almost surely, 2^2673072064 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 2673072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875253584).

2673072064 is an abundant number, since it is smaller than the sum of its proper divisors (3077435104).

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

2673072064 is a wasteful number, since it uses less digits than its factorization.

2673072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21453 (or 21443 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The square root of 2673072064 is about 51701.7607437116. The cubic root of 2673072064 is about 1387.8319745002.

The spelling of 2673072064 in words is "two billion, six hundred seventy-three million, seventy-two thousand, sixty-four".