2216615940 has 648 divisors, whose sum is σ = 9006955776. Its totient is φ = 439084800.

The previous prime is 2216615917. The next prime is 2216616029. The reversal of 2216615940 is 495166122.

2216615940 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 61 + 594 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2216615895 and 2216615904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 33083787 + ... + 33083853.

Almost surely, 2^2216615940 is an apocalyptic number.

2216615940 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 2216615940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503477888).

2216615940 is an abundant number, since it is smaller than the sum of its proper divisors (6790339836).

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

2216615940 is a wasteful number, since it uses less digits than its factorization.

2216615940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2216615940 is about 47080.9509249760. The cubic root of 2216615940 is about 1303.8575636071.

The spelling of 2216615940 in words is "two billion, two hundred sixteen million, six hundred fifteen thousand, nine hundred forty".