2254218408 has 96 divisors (see below), whose sum is σ = 6860730240. Its totient is φ = 663442560.

The previous prime is 2254218391. The next prime is 2254218437. The reversal of 2254218408 is 8048124522.

2254218408 is a `hidden beast` number, since 225 + 4 + 21 + 8 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 30828 + ... + 73883.

It is an arithmetic number, because the mean of its divisors is an integer number (71465940).

Almost surely, 2^2254218408 is an apocalyptic number.

It is an amenable number.

2254218408 is an abundant number, since it is smaller than the sum of its proper divisors (4606511832).

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

2254218408 is a wasteful number, since it uses less digits than its factorization.

2254218408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104759 (or 104752 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2254218408 is about 47478.6100049275. The cubic root of 2254218408 is about 1311.1891011499.

It can be divided in two parts, 2254218 and 408, that added together give a triangular number (2254626 = T₂₁₂₃).

The spelling of 2254218408 in words is "two billion, two hundred fifty-four million, two hundred eighteen thousand, four hundred eight".