2273414400 has 324 divisors, whose sum is σ = 8414422380. Its totient is φ = 584908800.

The previous prime is 2273414387. The next prime is 2273414401. The reversal of 2273414400 is 44143722.

2273414400 is a `hidden beast` number, since 227 + 34 + 1 + 4 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 211527936 + 2061886464 = 14544^2 + 45408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273414401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1669720 + ... + 1671080.

Almost surely, 2^2273414400 is an apocalyptic number.

2273414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207211190).

2273414400 is an abundant number, since it is smaller than the sum of its proper divisors (6141007980).

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

2273414400 is a wasteful number, since it uses less digits than its factorization.

2273414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2273414400 is about 47680.3355692889. The cubic root of 2273414400 is about 1314.9004343744.

The spelling of 2273414400 in words is "two billion, two hundred seventy-three million, four hundred fourteen thousand, four hundred".