2274980956416 has 405 divisors, whose sum is σ = 7745851841091. Its totient is φ = 640293147648.

The previous prime is 2274980956403. The next prime is 2274980956421. The reversal of 2274980956416 is 6146590894722.

The square root of 2274980956416 is 1508304.

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

2274980956416 is a `hidden beast` number, since 2 + 27 + 49 + 8 + 0 + 9 + 564 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33954939615 + ... + 33954939681.

Almost surely, 2^{2274980956416} is an apocalyptic number.

2274980956416 is the 1508304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274980956416

2274980956416 is an abundant number, since it is smaller than the sum of its proper divisors (5470870884675).

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

2274980956416 is an frugal number, since it uses more digits than its factorization.

2274980956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2274980956416 in words is "two trillion, two hundred seventy-four billion, nine hundred eighty million, nine hundred fifty-six thousand, four hundred sixteen".