2202033829248 has 768 divisors, whose sum is σ = 7171184517120. Its totient is φ = 648340070400.

The previous prime is 2202033829207. The next prime is 2202033829273. The reversal of 2202033829248 is 8429283302022.

It is a happy number.

2202033829248 is a `hidden beast` number, since 2 + 2 + 0 + 20 + 3 + 382 + 9 + 248 = 666.

It is a super-2 number, since 2×2202033829248² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11528972833 + ... + 11528973023.

It is an arithmetic number, because the mean of its divisors is an integer number (9337479840).

Almost surely, 2^{2202033829248} 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 2202033829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585592258560).

2202033829248 is an abundant number, since it is smaller than the sum of its proper divisors (4969150687872).

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

2202033829248 is a wasteful number, since it uses less digits than its factorization.

2202033829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 383 counting only the distinct ones).

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

The spelling of 2202033829248 in words is "two trillion, two hundred two billion, thirty-three million, eight hundred twenty-nine thousand, two hundred forty-eight".