2672271264 has 144 divisors (see below), whose sum is σ = 7996514400. Its totient is φ = 778871808.

The previous prime is 2672271263. The next prime is 2672271271. The reversal of 2672271264 is 4621722762.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2672271263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303922 + ... + 312590.

It is an arithmetic number, because the mean of its divisors is an integer number (55531350).

Almost surely, 2^2672271264 is an apocalyptic number.

2672271264 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 2672271264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998257200).

2672271264 is an abundant number, since it is smaller than the sum of its proper divisors (5324243136).

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

2672271264 is a wasteful number, since it uses less digits than its factorization.

2672271264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8727 (or 8706 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 2672271264 is about 51694.0157465059. The cubic root of 2672271264 is about 1387.6933715720.

The spelling of 2672271264 in words is "two billion, six hundred seventy-two million, two hundred seventy-one thousand, two hundred sixty-four".