2148284736 has 252 divisors, whose sum is σ = 6906760380. Its totient is φ = 637378560.

The previous prime is 2148284731. The next prime is 2148284741. The reversal of 2148284736 is 6374828412.

It is a happy number.

2148284736 is a `hidden beast` number, since 21 + 482 + 84 + 73 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2148284731) and next prime (2148284741).

It can be written as a sum of positive squares in 6 ways, for example, as 988473600 + 1159811136 = 31440^2 + 34056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2148284691 and 2148284700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148284731) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2822596 + ... + 2823356.

Almost surely, 2^2148284736 is an apocalyptic number.

2148284736 is a gapful number since it is divisible by the number (26) 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 2148284736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453380190).

2148284736 is an abundant number, since it is smaller than the sum of its proper divisors (4758475644).

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

2148284736 is a wasteful number, since it uses less digits than its factorization.

2148284736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 808 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2148284736 is about 46349.5926195689. The cubic root of 2148284736 is about 1290.3195602764.

The spelling of 2148284736 in words is "two billion, one hundred forty-eight million, two hundred eighty-four thousand, seven hundred thirty-six".