2011951872 has 360 divisors, whose sum is σ = 6980472576. Its totient is φ = 564516864.

The previous prime is 2011951871. The next prime is 2011951873. The reversal of 2011951872 is 2781591102.

It is a happy number.

2011951872 is a `hidden beast` number, since 20 + 119 + 518 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2011951871) and next prime (2011951873).

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 (2011951871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12047533 + ... + 12047699.

Almost surely, 2^2011951872 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 2011951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490236288).

2011951872 is an abundant number, since it is smaller than the sum of its proper divisors (4968520704).

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

2011951872 is an equidigital number, since it uses as much as digits as its factorization.

2011951872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 2011951872 is about 44854.7865004394. The cubic root of 2011951872 is about 1262.4258029395.

The spelling of 2011951872 in words is "two billion, eleven million, nine hundred fifty-one thousand, eight hundred seventy-two".