2264182278400 has 243 divisors, whose sum is σ = 6521604243609. Its totient is φ = 776002160640.

The previous prime is 2264182278349. The next prime is 2264182278437. The reversal of 2264182278400 is 48722814622.

It is a happy number.

The square root of 2264182278400 is 1504720.

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., 815105620224 + 1449076658176 = 902832^2 + 1203776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 842641857 + ... + 842644543.

Almost surely, 2^{2264182278400} is an apocalyptic number.

2264182278400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2264182278400 is the 1504720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264182278400

2264182278400 is an abundant number, since it is smaller than the sum of its proper divisors (4257421965209).

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

2264182278400 is an frugal number, since it uses more digits than its factorization.

2264182278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 2264182278400 in words is "two trillion, two hundred sixty-four billion, one hundred eighty-two million, two hundred seventy-eight thousand, four hundred".