2668138200 has 648 divisors, whose sum is σ = 11349971100. Its totient is φ = 559802880.

The previous prime is 2668138199. The next prime is 2668138217. The reversal of 2668138200 is 28318662.

It is a super-2 number, since 2×2668138200² = 14237922908598480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 14905711 + ... + 14905889.

Almost surely, 2^2668138200 is an apocalyptic number.

2668138200 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 2668138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674985550).

2668138200 is an abundant number, since it is smaller than the sum of its proper divisors (8681832900).

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

2668138200 is a wasteful number, since it uses less digits than its factorization.

2668138200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2668138200 is about 51654.0240445989. The cubic root of 2668138200 is about 1386.9775778533.

The spelling of 2668138200 in words is "two billion, six hundred sixty-eight million, one hundred thirty-eight thousand, two hundred".