2672108352 has 280 divisors, whose sum is σ = 8405871936. Its totient is φ = 837568512.

The previous prime is 2672108347. The next prime is 2672108363. The reversal of 2672108352 is 2538012762.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 8703783 + ... + 8704089.

Almost surely, 2^2672108352 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 2672108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4202935968).

2672108352 is an abundant number, since it is smaller than the sum of its proper divisors (5733763584).

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

2672108352 is a wasteful number, since it uses less digits than its factorization.

2672108352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2672108352 is about 51692.4399888417. The cubic root of 2672108352 is about 1387.6651712791.

The spelling of 2672108352 in words is "two billion, six hundred seventy-two million, one hundred eight thousand, three hundred fifty-two".