2006762562 has 72 divisors (see below), whose sum is σ = 5194644156. Its totient is φ = 557855424.

The previous prime is 2006762551. The next prime is 2006762573. The reversal of 2006762562 is 2652676002.

2006762562 is a `hidden beast` number, since 20 + 0 + 6 + 7 + 625 + 6 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2006762551) and next prime (2006762573).

It can be written as a sum of positive squares in 2 ways, for example, as 1491427161 + 515335401 = 38619^2 + 22701^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1888 + ... + 63380.

Almost surely, 2^2006762562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006762562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597322078).

2006762562 is an abundant number, since it is smaller than the sum of its proper divisors (3187881594).

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

2006762562 is a wasteful number, since it uses less digits than its factorization.

2006762562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61552 (or 61542 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2006762562 is about 44796.9034867367. The cubic root of 2006762562 is about 1261.3395014022.

The spelling of 2006762562 in words is "two billion, six million, seven hundred sixty-two thousand, five hundred sixty-two".