22740002409984 has 160 divisors (see below), whose sum is σ = 61345317353760. Its totient is φ = 7484574400512.

The previous prime is 22740002409983. The next prime is 22740002410003. The reversal of 22740002409984 is 48990420004722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22740002409983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100090564 + ... + 100317500.

It is an arithmetic number, because the mean of its divisors is an integer number (383408233461).

Almost surely, 2^{22740002409984} is an apocalyptic number.

22740002409984 is a gapful number since it is divisible by the number (24) 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 22740002409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30672658676880).

22740002409984 is an abundant number, since it is smaller than the sum of its proper divisors (38605314943776).

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

22740002409984 is an equidigital number, since it uses as much as digits as its factorization.

22740002409984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227780 (or 227764 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 22740002409984 in words is "twenty-two trillion, seven hundred forty billion, two million, four hundred nine thousand, nine hundred eighty-four".