2281408416 has 192 divisors, whose sum is σ = 7700232960. Its totient is φ = 651691008.

The previous prime is 2281408403. The next prime is 2281408429. The reversal of 2281408416 is 6148041822.

2281408416 is a `hidden beast` number, since 228 + 14 + 0 + 8 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (2281408403) and next prime (2281408429).

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487560 + ... + 492216.

It is an arithmetic number, because the mean of its divisors is an integer number (40105380).

Almost surely, 2^2281408416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281408416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850116480).

2281408416 is an abundant number, since it is smaller than the sum of its proper divisors (5418824544).

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

2281408416 is an frugal number, since it uses more digits than its factorization.

2281408416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2281408416 is about 47764.0912820499. The cubic root of 2281408416 is about 1316.4398279802.

The spelling of 2281408416 in words is "two billion, two hundred eighty-one million, four hundred eight thousand, four hundred sixteen".