2238405689640 has 256 divisors, whose sum is σ = 7231062896640. Its totient is φ = 552259584000.

The previous prime is 2238405689599. The next prime is 2238405689651. The reversal of 2238405689640 is 469865048322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262688580 + ... + 262697100.

It is an arithmetic number, because the mean of its divisors is an integer number (28246339440).

Almost surely, 2^{2238405689640} is an apocalyptic number.

2238405689640 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 2238405689640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615531448320).

2238405689640 is an abundant number, since it is smaller than the sum of its proper divisors (4992657207000).

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

2238405689640 is a wasteful number, since it uses less digits than its factorization.

2238405689640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10724 (or 10720 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 2238405689640 in words is "two trillion, two hundred thirty-eight billion, four hundred five million, six hundred eighty-nine thousand, six hundred forty".