2662066000 has 160 divisors (see below), whose sum is σ = 7328745216. Its totient is φ = 925760000.

The previous prime is 2662065979. The next prime is 2662066009. The reversal of 2662066000 is 6602662.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2662066000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2662066009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503370 + ... + 508630.

Almost surely, 2^2662066000 is an apocalyptic number.

2662066000 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 2662066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664372608).

2662066000 is an abundant number, since it is smaller than the sum of its proper divisors (4666679216).

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

2662066000 is a wasteful number, since it uses less digits than its factorization.

2662066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2662066000 is about 51595.2129562424. The cubic root of 2662066000 is about 1385.9246086174.

Adding to 2662066000 its reverse (6602662), we get a palindrome (2668668662).

It can be divided in two parts, 26 and 62066000, that added together give a palindrome (62066026).

The spelling of 2662066000 in words is "two billion, six hundred sixty-two million, sixty-six thousand".