2672936064 has 256 divisors, whose sum is σ = 8297088000. Its totient is φ = 846028800.

The previous prime is 2672936047. The next prime is 2672936069. The reversal of 2672936064 is 4606392762.

2672936064 is a `hidden beast` number, since 267 + 29 + 360 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2672936069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6535092 + ... + 6535500.

It is an arithmetic number, because the mean of its divisors is an integer number (32410500).

Almost surely, 2^2672936064 is an apocalyptic number.

2672936064 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 2672936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148544000).

2672936064 is an abundant number, since it is smaller than the sum of its proper divisors (5624151936).

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

2672936064 is a wasteful number, since it uses less digits than its factorization.

2672936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2672936064 is about 51700.4454913108. The cubic root of 2672936064 is about 1387.8084374929.

The spelling of 2672936064 in words is "two billion, six hundred seventy-two million, nine hundred thirty-six thousand, sixty-four".