2208012488640 has 1260 divisors, whose sum is σ = 9347015737224. Its totient is φ = 493322876928.

The previous prime is 2208012488621. The next prime is 2208012488683. The reversal of 2208012488640 is 468842108022.

2208012488640 is a `hidden beast` number, since 2 + 20 + 80 + 12 + 488 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×2208012488640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2805606327 + ... + 2805607113.

Almost surely, 2^{2208012488640} is an apocalyptic number.

2208012488640 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 2208012488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673507868612).

2208012488640 is an abundant number, since it is smaller than the sum of its proper divisors (7139003248584).

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

2208012488640 is an equidigital number, since it uses as much as digits as its factorization.

2208012488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 2208012488640 in words is "two trillion, two hundred eight billion, twelve million, four hundred eighty-eight thousand, six hundred forty".