2676232922400 has 432 divisors, whose sum is σ = 9624215338920. Its totient is φ = 699534950400.

The previous prime is 2676232922359. The next prime is 2676232922417. The reversal of 2676232922400 is 42292326762.

2676232922400 is a `hidden beast` number, since 2 + 6 + 7 + 6 + 232 + 9 + 2 + 2 + 400 = 666.

2676232922400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 172002631824 + 2504230290576 = 414732^2 + 1582476^2 .

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

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, 504090946 + ... + 504096254.

Almost surely, 2^{2676232922400} is an apocalyptic number.

2676232922400 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 2676232922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812107669460).

2676232922400 is an abundant number, since it is smaller than the sum of its proper divisors (6947982416520).

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

2676232922400 is a wasteful number, since it uses less digits than its factorization.

2676232922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2676232922400 in words is "two trillion, six hundred seventy-six billion, two hundred thirty-two million, nine hundred twenty-two thousand, four hundred".