2062768032 has 360 divisors, whose sum is σ = 6980625036. Its totient is φ = 595206144.

The previous prime is 2062768031. The next prime is 2062768033. The reversal of 2062768032 is 2308672602.

2062768032 is a `hidden beast` number, since 20 + 627 + 6 + 8 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2062768031) and next prime (2062768033).

It can be written as a sum of positive squares in 6 ways, for example, as 261274896 + 1801493136 = 16164^2 + 42444^2 .

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 (2062768031) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7446678 + ... + 7446954.

Almost surely, 2^2062768032 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 2062768032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490312518).

2062768032 is an abundant number, since it is smaller than the sum of its proper divisors (4917857004).

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

2062768032 is a wasteful number, since it uses less digits than its factorization.

2062768032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 312 counting only the distinct ones).

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

The square root of 2062768032 is about 45417.7061507954. The cubic root of 2062768032 is about 1272.9659803641.

The spelling of 2062768032 in words is "two billion, sixty-two million, seven hundred sixty-eight thousand, thirty-two".