2208914989440 has 512 divisors, whose sum is σ = 7539141242880. Its totient is φ = 549089280000.

The previous prime is 2208914989429. The next prime is 2208914989441. The reversal of 2208914989440 is 449894198022.

It is a super-3 number, since 3×2208914989440³ (a number of 38 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208914989441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222421275 + ... + 222431205.

It is an arithmetic number, because the mean of its divisors is an integer number (14724885240).

Almost surely, 2^{2208914989440} is an apocalyptic number.

2208914989440 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 2208914989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769570621440).

2208914989440 is an abundant number, since it is smaller than the sum of its proper divisors (5330226253440).

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

2208914989440 is a wasteful number, since it uses less digits than its factorization.

2208914989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10122 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 2208914989440 in words is "two trillion, two hundred eight billion, nine hundred fourteen million, nine hundred eighty-nine thousand, four hundred forty".