2272978369600 has 63 divisors (see below), whose sum is σ = 5593095794101. Its totient is φ = 909167225600.

The previous prime is 2272978369589. The next prime is 2272978369619. The reversal of 2272978369600 is 69638792722.

The square root of 2272978369600 is 1507640.

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

It can be written as a sum of positive squares in only one way, i.e., 818272213056 + 1454706156544 = 904584^2 + 1206112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60286755 + ... + 60324445.

Almost surely, 2^{2272978369600} is an apocalyptic number.

2272978369600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2272978369600 is the 1507640-th square number.

It is an amenable number.

2272978369600 is an abundant number, since it is smaller than the sum of its proper divisors (3320117424501).

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

2272978369600 is an frugal number, since it uses more digits than its factorization.

2272978369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75404 (or 37698 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 2272978369600 in words is "two trillion, two hundred seventy-two billion, nine hundred seventy-eight million, three hundred sixty-nine thousand, six hundred".