274880004100 has 243 divisors, whose sum is σ = 669977663607. Its totient is φ = 97845096960.

The previous prime is 274880004083. The next prime is 274880004109. The reversal of 274880004100 is 1400088472.

The square root of 274880004100 is 524290.

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

It can be written as a sum of positive squares in 40 ways, for example, as 270601797636 + 4278206464 = 520194^2 + 65408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (274880004109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2521834846 + ... + 2521834954.

Almost surely, 2^274880004100 is an apocalyptic number.

274880004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

274880004100 is the 524290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274880004100

274880004100 is an abundant number, since it is smaller than the sum of its proper divisors (395097659507).

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

274880004100 is a wasteful number, since it uses less digits than its factorization.

274880004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The spelling of 274880004100 in words is "two hundred seventy-four billion, eight hundred eighty million, four thousand, one hundred".