2602224144 has 225 divisors, whose sum is σ = 8231018103. Its totient is φ = 793338624.

The previous prime is 2602224091. The next prime is 2602224161. The reversal of 2602224144 is 4414222062.

The square root of 2602224144 is 51012.

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

2602224144 is a `hidden beast` number, since 26 + 0 + 222 + 414 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91011600 + 2511212544 = 9540^2 + 50112^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23873562 + ... + 23873670.

Almost surely, 2^2602224144 is an apocalyptic number.

2602224144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2602224144 is the 51012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2602224144

2602224144 is an abundant number, since it is smaller than the sum of its proper divisors (5628793959).

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

2602224144 is a wasteful number, since it uses less digits than its factorization.

2602224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The cubic root of 2602224144 is about 1375.4608516262.

The spelling of 2602224144 in words is "two billion, six hundred two million, two hundred twenty-four thousand, one hundred forty-four".