2278348736400 has 405 divisors, whose sum is σ = 8694420658833. Its totient is φ = 552085459200.

The previous prime is 2278348736383. The next prime is 2278348736413. The reversal of 2278348736400 is 46378438722.

It is a happy number.

The square root of 2278348736400 is 1509420.

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

2278348736400 is a `hidden beast` number, since 2 + 27 + 83 + 487 + 3 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 820205545104 + 1458143191296 = 905652^2 + 1207536^2 .

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 80 ways as a sum of consecutive naturals, for example, 996216057 + ... + 996218343.

Almost surely, 2^{2278348736400} is an apocalyptic number.

2278348736400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2278348736400 is the 1509420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2278348736400

2278348736400 is an abundant number, since it is smaller than the sum of its proper divisors (6416071922433).

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

2278348736400 is a wasteful number, since it uses less digits than its factorization.

2278348736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 2278348736400 in words is "two trillion, two hundred seventy-eight billion, three hundred forty-eight million, seven hundred thirty-six thousand, four hundred".