2202116545800 has 576 divisors, whose sum is σ = 8101373688720. Its totient is φ = 533787770880.

The previous prime is 2202116545771. The next prime is 2202116545829. The reversal of 2202116545800 is 85456112022.

2202116545800 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 11 + 65 + 4 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2202116545771) and next prime (2202116545829).

It can be written as a sum of positive squares in 24 ways, for example, as 742654427076 + 1459462118724 = 861774^2 + 1208082^2 .

It is a super-2 number, since 2×2202116545800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155104302 + ... + 155118498.

Almost surely, 2^{2202116545800} is an apocalyptic number.

2202116545800 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 2202116545800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050686844360).

2202116545800 is an abundant number, since it is smaller than the sum of its proper divisors (5899257142920).

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

2202116545800 is a wasteful number, since it uses less digits than its factorization.

2202116545800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14410 (or 14398 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 2202116545800 in words is "two trillion, two hundred two billion, one hundred sixteen million, five hundred forty-five thousand, eight hundred".