2814217890 has 128 divisors (see below), whose sum is σ = 7519640832. Its totient is φ = 668344320.

The previous prime is 2814217829. The next prime is 2814217933. The reversal of 2814217890 is 987124182.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4745434 + ... + 4746026.

It is an arithmetic number, because the mean of its divisors is an integer number (58747194).

Almost surely, 2^2814217890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2814217890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759820416).

2814217890 is an abundant number, since it is smaller than the sum of its proper divisors (4705422942).

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

2814217890 is a wasteful number, since it uses less digits than its factorization.

2814217890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884.

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 2814217890 is about 53049.2025387753. The cubic root of 2814217890 is about 1411.8413797399.

The spelling of 2814217890 in words is "two billion, eight hundred fourteen million, two hundred seventeen thousand, eight hundred ninety".