2209654506816 has 224 divisors, whose sum is σ = 6652527411200. Its totient is φ = 718828992000.

The previous prime is 2209654506791. The next prime is 2209654506823. The reversal of 2209654506816 is 6186054569022.

2209654506816 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 6 + 54 + 506 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95023191 + ... + 95046441.

Almost surely, 2^{2209654506816} 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 2209654506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326263705600).

2209654506816 is an abundant number, since it is smaller than the sum of its proper divisors (4442872904384).

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

2209654506816 is a wasteful number, since it uses less digits than its factorization.

2209654506816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24594 (or 24578 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2209654506816 in words is "two trillion, two hundred nine billion, six hundred fifty-four million, five hundred six thousand, eight hundred sixteen".