2906668800 has 756 divisors, whose sum is σ = 12466233360. Its totient is φ = 656916480.

The previous prime is 2906668693. The next prime is 2906668819. The reversal of 2906668800 is 88666092.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 32659156 + ... + 32659244.

Almost surely, 2^2906668800 is an apocalyptic number.

2906668800 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 2906668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233116680).

2906668800 is an abundant number, since it is smaller than the sum of its proper divisors (9559564560).

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

2906668800 is an frugal number, since it uses more digits than its factorization.

2906668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2906668800 is about 53913.5307691863. The cubic root of 2906668800 is about 1427.1354133669.

The spelling of 2906668800 in words is "two billion, nine hundred six million, six hundred sixty-eight thousand, eight hundred".