2081268000 has 384 divisors, whose sum is σ = 8661219840. Its totient is φ = 475545600.

The previous prime is 2081267963. The next prime is 2081268001. The reversal of 2081268000 is 8621802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2081268001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754624 + ... + 757376.

It is an arithmetic number, because the mean of its divisors is an integer number (22555260).

Almost surely, 2^2081268000 is an apocalyptic number.

2081268000 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 2081268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330609920).

2081268000 is an abundant number, since it is smaller than the sum of its proper divisors (6579951840).

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

2081268000 is a wasteful number, since it uses less digits than its factorization.

2081268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2081268000 is about 45620.9162555949. The cubic root of 2081268000 is about 1276.7601986010.

Adding to 2081268000 its reverse (8621802), we get a palindrome (2089889802).

The spelling of 2081268000 in words is "two billion, eighty-one million, two hundred sixty-eight thousand".