2302848144 has 225 divisors, whose sum is σ = 7050938499. Its totient is φ = 725578560.

The previous prime is 2302848103. The next prime is 2302848157. The reversal of 2302848144 is 4418482032.

The square root of 2302848144 is 47988.

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

2302848144 is a `hidden beast` number, since 230 + 284 + 8 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2302848099 and 2302848108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 53554587 + ... + 53554629.

Almost surely, 2^2302848144 is an apocalyptic number.

2302848144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2302848144 is the 47988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302848144

2302848144 is an abundant number, since it is smaller than the sum of its proper divisors (4748090355).

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

2302848144 is an equidigital number, since it uses as much as digits as its factorization.

2302848144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The cubic root of 2302848144 is about 1320.5507619016.

Multiplying 2302848144 by its sum of digits (36), we get a square (82902533184 = 287928²).

2302848144 divided by its sum of digits (36) gives a square (63968004 = 7998²).

The spelling of 2302848144 in words is "two billion, three hundred two million, eight hundred forty-eight thousand, one hundred forty-four".