2440222739136 has 2520 divisors, whose sum is σ = 10091848203360. Its totient is φ = 576641286144.

The previous prime is 2440222738991. The next prime is 2440222739177. The reversal of 2440222739136 is 6319372220442.

2440222739136 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 2 + 227 + 391 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2440222739091 and 2440222739100.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 27418232980 + ... + 27418233068.

It is an arithmetic number, because the mean of its divisors is an integer number (4004701668).

Almost surely, 2^{2440222739136} is an apocalyptic number.

2440222739136 is a gapful number since it is divisible by the number (26) 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 2440222739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045924101680).

2440222739136 is an abundant number, since it is smaller than the sum of its proper divisors (7651625464224).

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

2440222739136 is a wasteful number, since it uses less digits than its factorization.

2440222739136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

Adding to 2440222739136 its reverse (6319372220442), we get a palindrome (8759594959578).

The spelling of 2440222739136 in words is "two trillion, four hundred forty billion, two hundred twenty-two million, seven hundred thirty-nine thousand, one hundred thirty-six".