2676326400 has 576 divisors, whose sum is σ = 10808032200. Its totient is φ = 648806400.

The previous prime is 2676326363. The next prime is 2676326413. The reversal of 2676326400 is 46236762.

It is a happy number.

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.

2676326400 is a `hidden beast` number, since 2 + 6 + 7 + 6 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 35 ways as a sum of consecutive naturals, for example, 243302395 + ... + 243302405.

Almost surely, 2^2676326400 is an apocalyptic number.

2676326400 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 2676326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404016100).

2676326400 is an abundant number, since it is smaller than the sum of its proper divisors (8131705800).

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

2676326400 is an equidigital number, since it uses as much as digits as its factorization.

2676326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2676326400 is about 51733.2233675807. The cubic root of 2676326400 is about 1388.3949522059.

The spelling of 2676326400 in words is "two billion, six hundred seventy-six million, three hundred twenty-six thousand, four hundred".