2011965480 has 960 divisors, whose sum is σ = 8938512000. Its totient is φ = 402361344.

The previous prime is 2011965467. The next prime is 2011965481. The reversal of 2011965480 is 845691102.

2011965480 is a `hidden beast` number, since 2 + 0 + 119 + 65 + 480 = 666.

It is a super-3 number, since 3×2011965480³ (a number of 29 digits) contains 333 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 (2011965481) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 69378106 + ... + 69378134.

It is an arithmetic number, because the mean of its divisors is an integer number (9310950).

Almost surely, 2^2011965480 is an apocalyptic number.

2011965480 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 2011965480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469256000).

2011965480 is an abundant number, since it is smaller than the sum of its proper divisors (6926546520).

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

2011965480 is a wasteful number, since it uses less digits than its factorization.

2011965480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2011965480 is about 44854.9381896799. The cubic root of 2011965480 is about 1262.4286491062.

The spelling of 2011965480 in words is "two billion, eleven million, nine hundred sixty-five thousand, four hundred eighty".