2216771040 has 288 divisors, whose sum is σ = 8046573696. Its totient is φ = 508677120.

The previous prime is 2216771023. The next prime is 2216771099. The reversal of 2216771040 is 401776122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2216770989 and 2216771007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905499 + ... + 1906661.

It is an arithmetic number, because the mean of its divisors is an integer number (27939492).

Almost surely, 2^2216771040 is an apocalyptic number.

2216771040 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 2216771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023286848).

2216771040 is an abundant number, since it is smaller than the sum of its proper divisors (5829802656).

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

2216771040 is a wasteful number, since it uses less digits than its factorization.

2216771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 2216771040 is about 47082.5980591556. The cubic root of 2216771040 is about 1303.8879738657.

The spelling of 2216771040 in words is "two billion, two hundred sixteen million, seven hundred seventy-one thousand, forty".