2940676225600 has 189 divisors, whose sum is σ = 7415529464187. Its totient is φ = 1147762990080.

The previous prime is 2940676225579. The next prime is 2940676225607. The reversal of 2940676225600 is 65226760492.

It is a happy number.

The square root of 2940676225600 is 1714840.

It is a perfect power (a square), and thus also a powerful number.

2940676225600 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 4 ways, for example, as 196008081984 + 2744668143616 = 442728^2 + 1656704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2940676225607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2949524302 + ... + 2949525298.

Almost surely, 2^{2940676225600} is an apocalyptic number.

2940676225600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2940676225600 is the 1714840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940676225600

2940676225600 is an abundant number, since it is smaller than the sum of its proper divisors (4474853238587).

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

2940676225600 is an frugal number, since it uses more digits than its factorization.

2940676225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 2940676225600 by its sum of digits (49), we get a square (144093135054400 = 12003880²).

The spelling of 2940676225600 in words is "two trillion, nine hundred forty billion, six hundred seventy-six million, two hundred twenty-five thousand, six hundred".