2202330984480 has 768 divisors, whose sum is σ = 9144301662720. Its totient is φ = 488905113600.

The previous prime is 2202330984467. The next prime is 2202330984481. The reversal of 2202330984480 is 844890332022.

2202330984480 is a `hidden beast` number, since 220 + 2 + 3 + 309 + 8 + 44 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2202330984481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29853240 + ... + 29926920.

It is an arithmetic number, because the mean of its divisors is an integer number (11906642790).

Almost surely, 2^{2202330984480} is an apocalyptic number.

2202330984480 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 2202330984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572150831360).

2202330984480 is an abundant number, since it is smaller than the sum of its proper divisors (6941970678240).

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

2202330984480 is a wasteful number, since it uses less digits than its factorization.

2202330984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73770 (or 73756 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

It can be divided in two parts, 220233098 and 4480, that added together give a triangular number (220237578 = T₂₀₉₈₇).

The spelling of 2202330984480 in words is "two trillion, two hundred two billion, three hundred thirty million, nine hundred eighty-four thousand, four hundred eighty".