2662000000 has 224 divisors, whose sum is σ = 7291312920. Its totient is φ = 968000000.

The previous prime is 2661999983. The next prime is 2662000001. The reversal of 2662000000 is 2662.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2662000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 241999995 + ... + 242000005.

Almost surely, 2^2662000000 is an apocalyptic number.

2662000000 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 2662000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645656460).

2662000000 is an abundant number, since it is smaller than the sum of its proper divisors (4629312920).

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

2662000000 is an frugal number, since it uses more digits than its factorization.

2662000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2662000000 is about 51594.5733580577. The cubic root of 2662000000 is about 1385.9131548844.

2662000000 divided by its sum of digits (16) gives a cube (166375000 = 550³).

Adding to 2662000000 its reverse (2662), we get a palindrome (2662002662).

Multiplying 2662000000 by its reverse (2662), we get a square (7086244000000 = 2662000²).

2662000000 divided by its reverse (2662) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 26 and 62000000, that added together give a palindrome (62000026).

The spelling of 2662000000 in words is "two billion, six hundred sixty-two million", and thus it is an aban number.