2214541890 has 256 divisors, whose sum is σ = 7121571840. Its totient is φ = 483056640.

The previous prime is 2214541859. The next prime is 2214541933. The reversal of 2214541890 is 981454122.

2214541890 is a `hidden beast` number, since 2 + 21 + 4 + 541 + 8 + 90 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1160317 + ... + 1162223.

It is an arithmetic number, because the mean of its divisors is an integer number (27818640).

Almost surely, 2^2214541890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214541890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560785920).

2214541890 is an abundant number, since it is smaller than the sum of its proper divisors (4907029950).

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

2214541890 is a wasteful number, since it uses less digits than its factorization.

2214541890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2214541890 is about 47058.9193458583. The cubic root of 2214541890 is about 1303.4507708899.

The spelling of 2214541890 in words is "two billion, two hundred fourteen million, five hundred forty-one thousand, eight hundred ninety".