2672335152 has 240 divisors, whose sum is σ = 8128542240. Its totient is φ = 848848896.

The previous prime is 2672335139. The next prime is 2672335157. The reversal of 2672335152 is 2515332762.

It is a super-2 number, since 2×2672335152² = 14282750329229726208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2672335157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15446938 + ... + 15447110.

It is an arithmetic number, because the mean of its divisors is an integer number (33868926).

Almost surely, 2^2672335152 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 2672335152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064271120).

2672335152 is an abundant number, since it is smaller than the sum of its proper divisors (5456207088).

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

2672335152 is a wasteful number, since it uses less digits than its factorization.

2672335152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 2672335152 is about 51694.6336866797. The cubic root of 2672335152 is about 1387.7044303604.

The spelling of 2672335152 in words is "two billion, six hundred seventy-two million, three hundred thirty-five thousand, one hundred fifty-two".