2278892160000 has 1485 divisors, whose sum is σ = 8977278569259. Its totient is φ = 556498944000.

The previous prime is 2278892159987. The next prime is 2278892160019. The reversal of 2278892160000 is 612988722.

The square root of 2278892160000 is 1509600.

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

It can be written as a sum of positive squares in 22 ways, for example, as 1817449104384 + 461443055616 = 1348128^2 + 679296^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 61591679982 + ... + 61591680018.

Almost surely, 2^{2278892160000} is an apocalyptic number.

2278892160000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2278892160000 is the 1509600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2278892160000

2278892160000 is an abundant number, since it is smaller than the sum of its proper divisors (6698386409259).

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

2278892160000 is an equidigital number, since it uses as much as digits as its factorization.

2278892160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2278892160000 in words is "two trillion, two hundred seventy-eight billion, eight hundred ninety-two million, one hundred sixty thousand".