2839950642240 has 1344 divisors, whose sum is σ = 11010506637312. Its totient is φ = 694689177600.

The previous prime is 2839950642223. The next prime is 2839950642241. The reversal of 2839950642240 is 422460599382.

2839950642240 is a `hidden beast` number, since 2 + 8 + 3 + 99 + 506 + 4 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2839950642241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10035161139 + ... + 10035161421.

It is an arithmetic number, because the mean of its divisors is an integer number (8192341248).

Almost surely, 2^{2839950642240} is an apocalyptic number.

2839950642240 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 2839950642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505253318656).

2839950642240 is an abundant number, since it is smaller than the sum of its proper divisors (8170555995072).

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

2839950642240 is a wasteful number, since it uses less digits than its factorization.

2839950642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2839950642240 in words is "two trillion, eight hundred thirty-nine billion, nine hundred fifty million, six hundred forty-two thousand, two hundred forty".