2427239783040 has 512 divisors, whose sum is σ = 8171697000960. Its totient is φ = 611608166400.

The previous prime is 2427239782991. The next prime is 2427239783071. The reversal of 2427239783040 is 403879327242.

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 63 ways as a sum of consecutive naturals, for example, 2001021474 + ... + 2001022686.

It is an arithmetic number, because the mean of its divisors is an integer number (15960345705).

Almost surely, 2^{2427239783040} is an apocalyptic number.

2427239783040 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 2427239783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085848500480).

2427239783040 is an abundant number, since it is smaller than the sum of its proper divisors (5744457217920).

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

2427239783040 is a wasteful number, since it uses less digits than its factorization.

2427239783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 2427239783040 in words is "two trillion, four hundred twenty-seven billion, two hundred thirty-nine million, seven hundred eighty-three thousand, forty".