2312761248 has 192 divisors, whose sum is σ = 7806032640. Its totient is φ = 660648960.

The previous prime is 2312761211. The next prime is 2312761291. The reversal of 2312761248 is 8421672132.

It is a happy number.

2312761248 is a `hidden beast` number, since 2 + 31 + 2 + 7 + 612 + 4 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487528 + ... + 492248.

It is an arithmetic number, because the mean of its divisors is an integer number (40656420).

Almost surely, 2^2312761248 is an apocalyptic number.

2312761248 is a gapful number since it is divisible by the number (28) 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 2312761248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903016320).

2312761248 is an abundant number, since it is smaller than the sum of its proper divisors (5493271392).

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

2312761248 is an frugal number, since it uses more digits than its factorization.

2312761248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759 (or 4733 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2312761248 is about 48091.1764048250. The cubic root of 2312761248 is about 1322.4429141445.

The spelling of 2312761248 in words is "two billion, three hundred twelve million, seven hundred sixty-one thousand, two hundred forty-eight".