2321248140288 has 2640 divisors, whose sum is σ = 9613901552640. Its totient is φ = 543926845440.

The previous prime is 2321248140283. The next prime is 2321248140293. The reversal of 2321248140288 is 8820418421232.

2321248140288 is a `hidden beast` number, since 2 + 321 + 2 + 4 + 8 + 1 + 40 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (2321248140283) and next prime (2321248140293).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321248140283) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49388258281 + ... + 49388258327.

It is an arithmetic number, because the mean of its divisors is an integer number (3641629376).

Almost surely, 2^{2321248140288} is an apocalyptic number.

2321248140288 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 2321248140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806950776320).

2321248140288 is an abundant number, since it is smaller than the sum of its proper divisors (7292653412352).

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

2321248140288 is a wasteful number, since it uses less digits than its factorization.

2321248140288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 2321248140288 in words is "two trillion, three hundred twenty-one billion, two hundred forty-eight million, one hundred forty thousand, two hundred eighty-eight".