2668125600 has 432 divisors, whose sum is σ = 10851055488. Its totient is φ = 604293120.

The previous prime is 2668125589. The next prime is 2668125613. The reversal of 2668125600 is 65218662.

2668125600 is a `hidden beast` number, since 26 + 6 + 8 + 1 + 25 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 8416642 + ... + 8416958.

It is an arithmetic number, because the mean of its divisors is an integer number (25118184).

Almost surely, 2^2668125600 is an apocalyptic number.

2668125600 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 2668125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425527744).

2668125600 is an abundant number, since it is smaller than the sum of its proper divisors (8182929888).

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

2668125600 is a wasteful number, since it uses less digits than its factorization.

2668125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2668125600 is about 51653.9020791266. The cubic root of 2668125600 is about 1386.9753945650.

The spelling of 2668125600 in words is "two billion, six hundred sixty-eight million, one hundred twenty-five thousand, six hundred".