2062641672 has 480 divisors, whose sum is σ = 7647393600. Its totient is φ = 513402624.

The previous prime is 2062641649. The next prime is 2062641689. The reversal of 2062641672 is 2761462602.

2062641672 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 641 + 6 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7842613 + ... + 7842875.

It is an arithmetic number, because the mean of its divisors is an integer number (15932070).

Almost surely, 2^2062641672 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 2062641672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823696800).

2062641672 is an abundant number, since it is smaller than the sum of its proper divisors (5584751928).

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

2062641672 is a wasteful number, since it uses less digits than its factorization.

2062641672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2062641672 is about 45416.3150420639. The cubic root of 2062641672 is about 1272.9399869314.

It can be divided in two parts, 206264 and 1672, that added together give a square (207936 = 456²).

The spelling of 2062641672 in words is "two billion, sixty-two million, six hundred forty-one thousand, six hundred seventy-two".