2672348640 has 192 divisors, whose sum is σ = 9150926400. Its totient is φ = 651608064.

The previous prime is 2672348629. The next prime is 2672348641. The reversal of 2672348640 is 468432762.

2672348640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2672348592 and 2672348601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672348641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678196 + ... + 682124.

It is an arithmetic number, because the mean of its divisors is an integer number (47661075).

Almost surely, 2^2672348640 is an apocalyptic number.

2672348640 is a gapful number since it is divisible by the number (20) 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 2672348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575463200).

2672348640 is an abundant number, since it is smaller than the sum of its proper divisors (6478577760).

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

2672348640 is a wasteful number, since it uses less digits than its factorization.

2672348640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 2672348640 is about 51694.7641449306. The cubic root of 2672348640 is about 1387.7067650633.

The spelling of 2672348640 in words is "two billion, six hundred seventy-two million, three hundred forty-eight thousand, six hundred forty".