2202802145856 has 567 divisors, whose sum is σ = 7039681074153. Its totient is φ = 658265287680.

The previous prime is 2202802145849. The next prime is 2202802145899. The reversal of 2202802145856 is 6585412082022.

The square root of 2202802145856 is 1484184.

It is a perfect power (a square), and thus also a powerful number.

2202802145856 is a `hidden beast` number, since 2 + 20 + 28 + 0 + 21 + 4 + 585 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 325858305600 + 1876943840256 = 570840^2 + 1370016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31025382301 + ... + 31025382371.

Almost surely, 2^{2202802145856} is an apocalyptic number.

2202802145856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2202802145856 is the 1484184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202802145856

2202802145856 is an abundant number, since it is smaller than the sum of its proper divisors (4836878928297).

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

2202802145856 is an equidigital number, since it uses as much as digits as its factorization.

2202802145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 2202802145856 in words is "two trillion, two hundred two billion, eight hundred two million, one hundred forty-five thousand, eight hundred fifty-six".