2672005050 has 192 divisors, whose sum is σ = 8650696320. Its totient is φ = 597888000.

The previous prime is 2672005033. The next prime is 2672005051. The reversal of 2672005050 is 505002762.

It is a super-2 number, since 2×2672005050² = 14279221974451005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2672005051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186130 + ... + 199970.

It is an arithmetic number, because the mean of its divisors is an integer number (45055710).

Almost surely, 2^2672005050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672005050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325348160).

2672005050 is an abundant number, since it is smaller than the sum of its proper divisors (5978691270).

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

2672005050 is a wasteful number, since it uses less digits than its factorization.

2672005050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13886 (or 13875 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2672005050 is about 51691.4407808488. The cubic root of 2672005050 is about 1387.6472889660.

The spelling of 2672005050 in words is "two billion, six hundred seventy-two million, five thousand, fifty".