2442383000640 has 336 divisors, whose sum is σ = 9174379294080. Its totient is φ = 591453757440.

The previous prime is 2442383000639. The next prime is 2442383000657. The reversal of 2442383000640 is 460003832442.

2442383000640 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 3 + 8 + 3 + 0 + 0 + 0 + 640 = 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 = 2442383000595 and 2442383000604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29643021 + ... + 29725299.

It is an arithmetic number, because the mean of its divisors is an integer number (27304700280).

Almost surely, 2^{2442383000640} is an apocalyptic number.

2442383000640 is a gapful number since it is divisible by the number (20) 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 2442383000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587189647040).

2442383000640 is an abundant number, since it is smaller than the sum of its proper divisors (6731996293440).

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

2442383000640 is a wasteful number, since it uses less digits than its factorization.

2442383000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83250 (or 83237 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

It can be divided in two parts, 244238 and 3000640, that added together give a triangular number (3244878 = T₂₅₄₇).

The spelling of 2442383000640 in words is "two trillion, four hundred forty-two billion, three hundred eighty-three million, six hundred forty", and thus it is an aban number.